Taylor charges $15 for the first hour of dog walking and $10 for each additional

hour or fraction of an hour. The rates that Lucy charges for x hours of dog walking

are modeled with the function shown.

f(x) =

{

20x, 0
10x. 2
5x, x >4

Who will charge more to walk a dog for 2.5 hours, Taylor or Lucy? How much more?

Who?:

How much more?:

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of hours of dog walking. Taylor charges $15 for the first hour and $10 for each additional hour. Therefore:

Let g(x) represent how much Taylor charges. Hence:

g(x) = 15   for 0 ≤ x ≤ 1

g(x) = 15 + 10(x - 1) = 15 + 10x - 10 = 10x + 5   for x > 1

g(x) can be represented by the piecewise function:

[tex]g(x)=\left \{ {{15\ \ \ \ \ \ for\ 0\leq x\leq 1} \atop {10x+5\ \ for\ x>1}} \right.[/tex]

Lucy charges f(x) is modeled by the piecewise function:

[tex]f(x)=\left \{ {{20x\ \ \ \ \ \ for\ 0\leq x\leq 2} \atop {10x\ \ \ for\ 0< x< 4}} \right.[/tex]

Therefore the charge for walking a dog for 2.5 hours by either Taylor or Lucy is:

For Taylor; f(2.5) = 10(2.5) + 5 = $30

For Lucy; g(2.5) = 10(2.5) = $25

Therefore Taylor charges more by walking a dog for 2.5 hours. Taylors charge is $5 more than Lucy charge ($30 - $25).


Related Questions

Multiplication And Divisin Fact Families ,Will Mark Brainliest

Answers

Answer:

1) 56, 56, 56, -7

2) -1, -1, -1, -1

3) -7, 5, -35, -7

4) -4, -8, -4, -8

5) -21, -21, -21, -7

6) 10, -50, -5, -5

7) 48, 48, -4, 48

8) 6, -2, -2, -2

Step-by-step explanation:

Do I really have to explain? lol

Hope this helps.

I need help with this.​

Answers

Answer:

D=4

C=12.56

Step-by-step explanation:

D=2r

d=2×2

D=4

C=pi ×D

C=3.14×4

C=12.56

A skating rink charges a group rate of $8 plus a fee to rent each pair of skates. A family rents 5 pairs of skates and pays a total of $28.

Answers

Answer:

the fee for the skates is 4$ ea

Step-by-step explanation:

HELP ME WITH THIS QUESTION ASAP

Answers

Answer:

5x + 10 y = 70

Step-by-step explanation:

Prior to hosting an international soccer match, the local soccer club needs to replace the artificial turf on their field with grass turf. The grass turf will cost $ 6.75 per square meter. If the field is 0.101 km by 0.065 km, how much will it cost the club to add the grass turf to their field

Answers

Answer:

$44,313.75

Step-by-step explanation:

First, we need to turn the km into meters. There are 1000 meters in a km meaning we need to multiply each of these values by 1000.

0.101 km * 1000= 101 meters

0.065 km * 1000 =  65 meters

Now we need to multiply these values together to find the area of the field

101m * 65m = 6,565[tex]m^{2}[/tex]

Finally, we need to multiply this area by the cost per square meter

6,565[tex]m^{2}[/tex] / 6.75 = $44,313.75

The total repair will cost $44,313.75

Parallel to y = -x -5; through (4,-3)

Answers

Answer:

y = -x + 1

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

the answer is : y=-x+1

Write an integer to express: What is the temperature if it
is 50 degrees above zero?

Answers

Answer:

49 degrees

Step-by-step explanation: You are basically counting from 0 to 49

Pls help quick thank u

Answers

Answer:

i think it’s D

i hope i help you but if nop DO NOT FORGET STAY SAFE AT HOME

You develop an app to help students complete their homework. To earn money, you sell advertising space on the app’s main screen. An advertiser pays you $20 per month and an additional $0.005 each time the app is opened. Graph the linear equation that represents your monthly income y (in dollars) when the app is opened x times.

Answers

Answer:

y ⇒⇒⇒ monthly income

x ⇒⇒⇒ number of times app is opened

$20 per month and an additional $0.005 each time the app is opened

∴ y = 0.005 x + 20

The attached figure represents the graph of y

Step-by-step explanation:

If f(x) = 3x – 1 and g(x) = x², then what is (fºg)(x)?

Answers

Answer:

3x^2-1

Step-by-step explanation:

Answer:

f(x) = 3x – 1 and g(x) = x²

Putting the value of g(x) in f(x), we get

(fog)(x)= f{g(x)}= f(x²) = (3x²-1)

(3x²-1) is the right answer.

help me pls i’ll give brainest if correct

Answers

The Answer Is:

3 and 10

Limit as x approaches 0 of (sin^2x)/x

Answers

Answer:

0

Step-by-step explanation:

Given the expression

[tex]\lim_{x \to \ 0} \frac{sin^2x}{x}[/tex]

Substitute the value of x in the function

[tex]= \frac{sin ^2(0)}{0}\\= 0/0 (indeterminate) \\[/tex]

Apply l'hospital rule

[tex]\lim_{x \to \ 0} \frac{d/dx(sin^2x)}{d/dx(x)} \\= \lim_{x \to \ 0} \frac{(2sinxcosx)}{1} \\[/tex]

Substitute the value of x

= 2 sin(0)cos(0)

= 2 * 0 * 1

= 0

Hence the limit of the function is 0

1000000000000 x 21392938402840

Answers

Answer:

2.1392938e+25Step-by-step explanation: you just times it so u get this answer

Answer:

2.13929384 x10^25

Step-by-step explanation:

use a calculator

A disc jockey is organizing his music. He has

277 albums with 14 songs on each of them and

177 singles with 1 song on each of them. How

many total songs does the disc jockey have?

Answers

Answer:

The total numbers of songs disc jockey have = 4055 songs

Step-by-step explanation:

As given, A disc jockey has 2 types of files :

1 : Albums

2 : Singles

Given that , in every album there is 14 songs

as we have 277 albums

So, total numbers of songs in 277 albums = 277×14 = 3878 songs    ........(1)

Now,

Given that, in each singles there is 1 song

As we have 177 singles

So, total number of songs in 177 singles = 177×1 = 177 songs      ..........(2)

So, the total numbers of songs disc jockey have = Total number of songs in 277 albums + total number of songs in 177 singles

⇒The total numbers of songs disc jockey have = 3878 + 177

                                                                               = 4055 songs

∴ we get

The total numbers of songs disc jockey have = 4055 songs

If, at the end of two years, a savings account has a balance of $1,172.60, and the interest rate is compounded monthly at 3.2%, then what is the original amount deposited two years ago?

Answers

Answer:

$1101

Step-by-step explanation:

Given data

A= $1,172.60

R= 3.2 = 0.032

t= 2

The expression for compound interest is

A= P(1+r)^t

Substitute

1172.60=P(1+0.032)^2

1172.60=P(1.032)^2

1172.60=P1.065

Divide both sides by 1.065

1172.60/1.065= P

P=$1101

Hence the original amount is $1101

A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below. Assume scores are normally distributed.Body frame size is determined by a person's wrist circumference in relation to height. A researcher measures the wrist circumference and height of a random sample of individuals.What is the value of the test statistic to see if the correlation is statistically significant

Answers

Answer:

Hello your question has a disjointed equation attached to it and it is also incomplete attached below is the correct and complete question

A teacher believes that the third homework assignment is a key predictor in how well students will do on the midterm. Let x represent the third homework score and y the midterm exam score. A random sample of last terms students were selected and their grades are shown below

answer :

y-intercept = 25.9047

 slope = 2.8420

Step-by-step explanation:

Determine the slope for the regression equation and y intercept

The regression equation ( gotten using excel ; attached below is the excel sample on how the equation was gotten )

y = 25.9047 + 2.8420x

from the equation gotten above

y-intercept = 25.9047

slope = 2.8420

Sherry has rings and bracelets in her jewelry box. the number of rings is 7 less than 3 times of the number of bracelets. How many pieces of jewelry does she have if she has 4 bracelets?

The last tutor was SUPER rude and would NOT answer my question.​

Answers

Answer:

i think its 14. if not sorry

Step-by-step explanation:

again sorry if im wrong sorry

what is the relationship between angle a and angle b

Answers

Answer:

A

Step-by-step explanation: Because of the fact that vertical angles revolve around angles for top to bottom, its A. Correct me if im wrong.

A frog can hop a maximum speed of about 60 feet every 4 seconds. How far can he hop in 30 seconds

Answers

Answer:

its 180

Step-by-step explanation:

Answer:

450

Step-by-step explanation:

15x30=450

Mrs. Write makes cookies for the school bake sale. She uses the equation y=0.50x to determine the cost, y, for x cookies. Which best represents the constant rate at which cookies are sold at the bake sale?
A) 5 cookies per dollar
B) $2 per cookie
C) 50 cookies per dollar
D) $0.50 per cookie ​

Answers

Answer:D

Step-by-step explanation: just trust me on this one i have a 103% in 9th grade math

1a. Alex skateboards at a constant speed from his house to school 4 miles away. It takes him 15 minutes. What fraction represents his constant speed, C?​

Answers

Minutes - 15/4
or
Seconds - 15/240

Paul will select a random sample of students to create a 95 percent confidence interval to estimate the proportion of students at his college who have a tattoo. Of the following, which is the smallest sample size that will result in a margin of error of no more than 5 percentage points?

Answers

Answer:

385

Step-by-step explanation:

Given that:

Margin of Error (MOE) = 5% = 0.05

Zcritical, 95% = Z(1-α/2) = Z0.025 = 1.96

MOE = Zcritical * (√p(1-p))/n)

p is taken as 0.5 when not stated ;

5 = 1.96 * sqrt[(0.5 * 0.5) / n]

5 = 1.96 * sqrt(0.25/n)

Square both sides

(0.05/ 1.96)² = 0.25/n

0.0006507 = 0.25/n

0.0006507 * n = 0.25

n = 0.25 / 0.0006507

n = 384.20162

Sample size = 385

What is the area of a triangle with a
base of 6m and a height of 7m

Answers

Answer:

It is 21

Step-by-step explanation:

the number of customers waiting inside a restaurant was 2 less than a third of those waiting inside. if three customers were waiting inside how many were outside0​

Answers

Step-by-step explanation:

I think the wording on this problem is incorrect. is one of the insides supposed to be outside

Three of the vertices of square ABCD are located at A(0,3), B(4,0), and C(7,4).
Determine the area of square ABCD.​

Answers

Answer:

The area of the square ABCD is 25 square units

Step-by-step explanation:

The square ABCD has three of its vertices at A(0,3), B(4,0), and C(7,4). The fourth vertex has been also plotted in the image attached below.

The area of the square is

[tex]A = a^2[/tex]

Where a is the length of any of the square's sides. We only have to find the distance from any two consecutive vertices, for example, A(0,3), B(4,0):

[tex]a=\sqrt{(4-0)^2+(0-3)^2}[/tex]

[tex]a=\sqrt{16+9}=\sqrt{25}=5[/tex]

a = 5

Calculating the distance between any other pair of consecutive vertices would yield the same result. The area is now calculated:

[tex]A = 5^2 = 25[/tex]

The area of the square ABCD is 25 square units

Which ordered pair satisfies the system of equations below?

Answers

Answer:

(2.5,-0.5)

Step-by-step explanation:

3x-y=8

x+y=2

4x=10

x=2.5

x+y=2

2.5+y=2

y=-0.5

ANS: (2.5,-0.5)

Find two consecutive whole numbers that 83 lies between.

Answers

Answer:

82, 84

Step-by-step explanation:

Three friends are buying seashells at the gift shop on the beach. Melanie buys 2 seashells for$0.80. Rosi buys 5 sea shells for $2.00. Carlos buys 4 seashells for $1.60.

Answers

Answer:

what is the question

Step-by-step explanation:

Solve for the value of x and y if ADCB - NOPM.
I need that please

Answers

Answer:

can we see the picture?

Let 3x + 9 = 5x – 3. What is the value of 4x ?

Answers

Answer: 24

Step-by-step explanation:

3x + 9 = 5x - 3

9 = 2x - 3

12 = 2x

x = 6

6 * 4  =24

4x = 24

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