For which situation does one quantity change at a constant rate per unit interval relative to another quantity? responses.

Answers

Answer 1

An employee earns $14 per hour and a trainer charges $20 for every 30 minutes of training plus a $5 tip are a constant rate per unit interval. Therefore, options A and E are the correct answers.

Given that:

an employee earns $14 per hour.

constant rate of change :

When something has a constant rate of change, one quantity changes in relation to the other. For example, for every half hour the pigeon flies, he can cover a distance of 25 miles. We can write this constant rate as a ratio. For ratios, it's always a good idea to state both units in whole terms.

A). Let the number of hours be x and the total money earned be y

So, y = 14x

B). Let the money earn by an employee each year be a and total earning in a year be b.

So, b=a+3% of a

⇒ b = a + 0.03a

⇒ b = 1.03a

C) Let the number of months be m and the total charge be t

So, t=50+30m

D) Let cost of gym equipment be p, rate of change =8% and time period = 6 months

So,

E) Let the number of hour be x.

Here, 30 minutes = 1/2 hours

Total charge = 20 + 5x/2

An employee earns $14 per hour and a trainer charges $20 for every 30 minutes of training plus a $5 tip are a constant rate per unit interval. Therefore, options A and E are the correct answers.

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Full question :

For which situation does one quantity change at a constant rate per unit interval relative to another quantity? responses.

Select all that apply

A. An employee earns $14 per hour.

B. An employee earns a 3% raise each year.

C. A gym charges a $50 down payment plus $30 per month.

D. A piece of gym equipment decreases 8% in value every 6 months.

E. A trainer charges $20 for every 30 minutes of training plus a $5 tip.

Related Questions

Can someone help me with this please

Answers

Answer:

-19, -8, 0, 1/2, 1/4

12, 1 1/2, 5, -12, -19

Step-by-step explanation:

Answer:

1) So sorry but I dont know this one.

2) -19, -8, 0, 1/4, 1/2

3) 12, 5, 3/2, -12, -19

Step-by-step explanation:

x + y = 8
2x2 – y = –5

Answers

Answer:

x=-2,y=10

Step-by-step explanation:

y=8-x.............equation 1

4-y=-5..........equation 2

Now,

putting the value of y in equation 2,

4-(8-x)=-5

4-8+x=-5

-3+x=-5

x=-5+3

x=-2

Then,

putting the value of x in equation 1

y=8+2

y=10

what is |12.8| equal I am so confused

Answers

Answer:

|12.8| has a magnitude of 12.8

If that's not what you are asking, here's another possible answer:

12.8=12 4/5

12.8= 1280%

Step-by-step explanation:

Hope this helps!

7.24 + 5.3 = 3m

what is the true answer ?

Answers

Answer:

7.24 + 5.3 = 3m

=> 3m = 12.54

=> m = 12.54/3

=> m = 4.18

Answer = 4.18

Translate the sentence into an equation.
Twice the difference of a number and 8 equals 3.

Use the variable c for the unknown number.

Answers

Answer:

this equation would be 2(c-8)=3

which value in the set (2,3,48,96) is a solution of the equation 24+x=72

Answers

Answer:

Step-by-step explanation:

24+x=72

Isolate x

24+x=72

-24 -24

x=48

Determine whether -6 is a solution of the inequality.
x = 6
Yes
No

Answers

Answer:

Step-by-step explanation:

x must be 6

What is the value of x, given that
RS||XY

Answers

Answer:

The answer would be X= 8 .

Step-by-step explanation:

Hope it was helpful .

Good luck ^^

The required measure of x in the triangle QRS is given as x = 8.

What are Similar triangles?

Similar triangles are triangles that have the same shape but possibly different sizes. More formally, two triangles are similar if their corresponding angles are congruent (equal in measure), and their corresponding sides are in proportion (have the same ratio).

Here,
Since Triangle QRS is similar to triangle QXY.
The property of similar triangle states that the sides of both the triangle will be proportional to each other.
So,
QR/QX = QS/QY

Substitute the value in the above expression,

6/18 = x/ [x + 16]

Simplifying the above expression,
x + 16 = 3x
x = 8

Thus, the required measure of x in the triangle QRS is given as x = 8.

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What is the value of the flowers?

Answers

Answer:

Step-by-step explanation:

6*6=36

6+10=16

2*10=20

Flower=10-6+20=24

The seat of a bench is the shape of a Trapezoid with bases of 8 feet and 7 feet and a height on 3.5 feet whats the are of the seat

Answers

Answer:

26.25 square feet

Step-by-step explanation:

Calculation to determine the area of the seat

Using this formula

Area=1/2*(b1+b2)*h

Where,

b1=8 feet

b2=7 feet

h=3.5 feet

Let plug in the formula

Area=1/2*(8+7)*3.5

Area=1/2*15*3.5

Area=26.25

Therefore the area of the seat is 26.25 square feet

PLEASE HELP 8THGRADE MATHH!!

Answers

Answer:

Step-by-step explanation:

Answer:

table 3 (c)

Step-by-step explanation:

Which inequalities have 4 as a solution? 1. X-85.2 <_ 14.6 4. 8x <_ 128 2. X/6> -23 5. X+4.7>21.6 3. X-43<37 Put the numbers together to form the code.

Answers

Given:

The inequalities are:

1. [tex]x-85.2\leq 14.6[/tex]

2. [tex]\dfrac{x}{6}>-23[/tex]

3. [tex]x-43<37[/tex]

4. [tex]8x\leq 128[/tex]

5. [tex]x+4.7>21.6[/tex]

To find:

The inequalities that have 4 as a solution.

Solution:

We need to put [tex]x=4[/tex] in each inequality, to check whether it is a solution or not.

1. The inequality is

[tex]x-85.2\leq 14.6[/tex]