A zucchini plant in Darnell's garden was 12 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 0.195 meter tall?

15 days will the zucchini plant be 0.195 meter tall.

Step-by-step explanation:

(a) Find out the a rule to describe the function.

To prove

Let us assume that the days be represted by d.

Let us assume that the height of plant be represted by y.

As given

A zucchini plant in Darnell's garden was 12 centimeters tall when it was first planted.

it has grown approximately 0.5 centimeter per day.

Than the function becomes

y = 12 + 0.5 * d

y = 12 + 0.5d

(b) Find out after how many days will the zucchini plant be 0.195 meter tall.

To prove

Let us assume that the days be represted by d.

As given

A zucchini plant in Darnell's garden was 12 centimeters tall when it was first planted.

it has grown approximately 0.5 centimeter per day.

As

1meter = 100cm

0.195 meter convert into centimeter.

= 19.5cm

Than the equation becomes

12 + 0.5d = 19.5

0.5d = - 12 + 19.5

0.5d = 7.5

d = / frac{7.5}{0.5}

d = 15 days

Therefore 15 days will the zucchini plant be 0.195 meter tall.