Question

A zucchini plant in Darnell’s garden was 10 centimeters tall when it was first planted. Since then, it has grown approximately 0.5 centimeter per day.

a. Write a rule to describe the function.
b. After how many days will the zucchini plant be 18.5 centimeters tall?


A. h(d) = 0.5d + 10; 17 days


B. h(d) = 10d + 0.5; 1.1 days


C. h(d) =
`(d)/(0.5)`+10; 4 days


D. h(d) = 0.5d; 37 days

Answer 1

Let's start with part B. if it was originally 10 cm tall and it goes up 0.5 cm. each day, then we know that to go up one cm it needs two days. With that information we can say that 8*2 = 16. So it needs 17 days to go up 8.5 cm which would make it 18.5 cm tall.

Explanation:

f(x) = 0.5x + 10

0.5x + 10 = 18.5

0.5x = 18.5 - 10

0.5x = 8.5

x = 8.5/0.5

x = 17 days