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 centimeters per day. a. Write a rule to describe the function. b. After how many days will the zucchini plant be 0.185 meters tall?

Answer 1

Answer:

a) g(x) = 10 + 0.5x

b) 17 days

Explanations:

Let the number of days be represented by x

Let the intial height of the zucchini plant be g₀

g₀ = 10 cm

Size of growth per day = 0.5 cm

Let the growth after x days be represented by g(x)

a) The rule that represents the function is therefore:

g(x) = g₀ + 0.5x

g(x) = 10 + 0.5x

b) After how many days will the Zucchini pant be 0.185 meters tall

That is g(x) = 0.185 meters

since 1 meter = 100 cm

g(x) = 0.185 x 100 cm

g(x) = 18.5 cm

Thereofre substitute g(x) = 18.5 into the equation g(x) = 10 + 0.5x

18.5 = 10 + 0.5x

18.5 - 10 = 0.5x

0.5x = 8.5

x = 8.5 / 0.5

x = 17

The zucchini plant will be 0.185 meters tall after 17 days