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