5. 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?

A. h(d) = 12d + 0.5; 1.3 days

B. h(d) = 0.5d +12; 15 days

C. h(d) = 0.5d; 39 days

D. h(d) = d/0.5 = 12; 4 days

B. h(d) = 0.5d +12; 15 days

Step-by-step explanation:

here they want to write an equation to describe the growth of the plant.  set y = height of the plant (in cm).  set x = days (since planting).  the plant was planted on day 0 (x=0).  We know that the plant was 12 cm tall when it was first planted, so we know that y(0) = 12 cm.  y(0) just means the value of the equation y when x = 0, or y(x=0), or just y(0).  Every day the plant grows .5 cm so we know the value of y will increase at .5cm for every x days, or .5x.  Add the initial value of y (where x=0) and you have the equation y = 12 + .5x  (in cm).  usually we write equations in meters and not cm, so you can change it to y = .12 +.005x (in meters).  

now just set your equation equal to .185 meters and solve for x

.185 = .12 + .005x

.065 = .005x

x = 13 days

Answer

(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 = 15 days

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

a) 12 + 0.5d               d=day

b) 0.195/0.5=0.39d

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 .

good luck on ur quiz test or homework. have a good day : )