Renata moved to her new home a few years ago. Back then, the young oak tree in her back yard was 190 centimeters tall. She measured it once a year and found that it grew at a constant rate. 3 years after she moved into the house, the tree was 274 centimeters tall
How fast did the tree grow?

How many years passed from the time Renata moved in until the tree was 344 centimeters tall?

Answers

Answer 1
1.

The equation for this problem would be

y = (?)x + 190

With y being the height after a given amount of years and x being the amount of years passing. We would need to find ?, the rate of how fast the tree grows. The problem gives us y = 274 centimeters and x = 3 years

Let’s plug in and solve for ?

274 = ?(3) + 190

84 = ?3

28 = ?

The tree grew 28 cm per year

2.

Since we know the rate of change and y, let’s just plug in values

344 = 28x + 190

154 = 28x

5.5 = x

5.5 years since Renata moved.
Answer 2

Answer:

Answers below

Step-by-step explanation:

How fast did the tree grow?

28 centimeters per year

How many years passed from the time Renata moved in until the tree was 344 centimeters tall?

5.5 years

Hope this helps!


Related Questions

A carnival ride has a sign at the beginning of the line that says "Must be at least 48 inches tall to ride." Which of the following inequalities best represents the allowable height of riders? h > 48 h < 48 h ≥ 48 h ≤ 48

Answers

Answer:

H is equal to and greater than 48 the last one because you must be equal to 48 inches or greater than 48 inches so = would be equal to and < would mean that you must be greater than

Step-by-step explanation:

Answer:

h ≥ 48

Step-by-step explanation:

Height must be greater than or equal to 48 inches tall to ride.

Harrison has 12 coins in quarters and nickels. He determines that they have a total value of $2.00.
a) Write a system of equations that could be used to find the number of each coin he has.

Answers

Answer:

See below

Step-by-step explanation:

Let the number of nickels is n, number of quarters is q.

We know that:

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As per given we can set the following system:

n + q = 125n + 25q = 200

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A 10-pound bag of grass seed will cover an area of about 4000 square feet. The relationship between pounds (p) of grass seed and area (a) can be written as a = kp. What is the value of k? what does it represent

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Answer:

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Rate is 9 kilometers (km)/week.

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Percentage Calculator: 35 is what percent of 25? = 140.

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what is the sum of the first 8 terms of the geometric sequence 1, 1/2,1/4,1/8,..

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Answer:

127/64  

Step-by-step explanation:  

1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64  

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Answer:

Roman

Step-by-step explanation:

An easy way to solve this is looking at whether the line has a positive or negative slope. We read graphs from left to right so if the line is increasing from left to right, it has a positive slope while a line decreasing from left to right has a negative slope. Since the line shown is decreasing from left to right, it will have a negative slope and Roman is the only one out of the two that shows a negative slope. To check to see if he's correct, we can check the y-intercept. The y-intercept of the line is 8 and Roman also has 8 written in the expression. Hence, meaning Roman is correct.

Best of Luck!

make v the subject of the formula ​

Answers

[tex]T =\dfrac 5{V+1}\\\\\\\implies VT+T = 5\\\\\implies VT = 5-T\\\\\implies V =\dfrac{5-T}T[/tex]

Answer:   [tex]V = \frac{5}{T} - 1[/tex]   OR  [tex]V = \frac{5 - T}{T}[/tex]

Step-by-step explanation:

One way we can make V the subject of the formulas by rearranging the terms mathematically to get V on one side of the equation and the other terms on the other side:

since       T = 5 ÷ (V + 1)          [multiply both sides by (V+1)]

    T (V + 1) = 5                        [divide both sides by T]

       (V + 1) = 5 ÷ T                  [subtract 1 from both sides]

              V = (5 ÷ T) - 1    OR   [tex]V = \frac{5}{T} - 1[/tex]

If we want the RHS with over a single denominator we can write it as

  V = (5 ÷ T) - (T ÷ T)       [rewrite 1 in terms of T (T/T)]

  V = (5 - T) ÷ T   OR  [tex]V = \frac{5 - T}{T}[/tex]

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A gym is offering a deal to members. Customers can sign up by paying a registration fee of $100 and $28 per month. The function that models this situation is c(m) = 28m + 100, where m is the number of months and c(m) is the cost of becoming a member.
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Answers

6) The equation given is written in standard form of writing the equation of a line y = mx + b

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From the given equation c(m) = 28m + 100, the independent variable is (m) while the dependent variable is c(m)

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28m + 100 > 0

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c(12) = 336 + 100

c(12) = 436

Hence the membership will cost $436 for the whole year

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Answers

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

[tex]f(x)=25x+40[/tex]

Step-by-step explanation:

Hope this helps

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Step-by-step explanation:

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Answers

Answer:

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1, 2, 6, 9, 27, 54
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Answers

Answer:

1,2,3,6,9,18,27,54

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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