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

Question

Mathematics

Lamar Mercer

30 December, 19:49

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

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Wayne · Answer 1

274 - 190 = 84 ... so it took 3 years to grow 84 inches ... that means it is growing at a rate of : 84/3 = 28 cm per year

y = 28x + 190 ... this would be ur equation where y is the total height in cm. and x is the number of years.

So how many years till it reaches 344 cm ... sub in 344 for y and solve for x

344 = 28x + 190

344 - 190 = 28x

154 = 28x

154/28 = x

5.5 = x < = = = 5 1/2 (or 5.5) years would have passed