When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard. He measured it once a year and found that it grew by 26 centimeters each year. 4.5 years after he moved into the house, the tree was 292 centimeters tall. How tall was the tree when Vlad moved into the house? How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?

Question

Mathematics

Azul Stark

Today, 00:45

When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard. He measured it once a year and found that it grew by 26 centimeters each year. 4.5 years after he moved into the house, the tree was 292 centimeters tall. How tall was the tree when Vlad moved into the house? How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?

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Answers (1)

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Adrienne Fuller · Answer 1

tree was 175 cm at movein

t = 7 years when tree is 357cm tall.

Step-by-step explanation:

slope 26cm/year

h (t) = 26t + b

h (4.5) = 292 = 26*4.5 + b

b = 292-26*4.5 = 175

h (t) = 26t + 175

h (0) = 175

tree was 175 cm at movein

26t+175 = 357

26t = 182

h (7) = 357

t = 7 years when tree is 357cm tall.