Azucchini 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 .

< 4, -5>

step-by-step explanation:

starting from g. we move 4 right and then 5 down to get to h. that means the vector is < 4, -5>