The Suntracker grows at a rate of 2.5 centimeters per day after the first 60 days. If this sunflower is 195 centimeters tall when it is 60 days old, write an expression to represent Suntracker's height after d days. Which sunflower will be taller after 22 days, or when it is 82 days old? Explain how you found your answers.

A. Equation governing height of sun flower

height of sun flower, h = 195 + 2.5d

B. They will be the same height after 22 days and when it is 82 days old

Step-by-step explanation:

A. The rate of growth of the sunflower is per day is given as 2.5d. This means that after every day, its height increases by a factor of 2.5.

However, this only starts after 60 days.

∴ The formula has to be altered to account for the height of the sunflower before 60 days. This has already been supplied to us in the question, which is 195cm

⇒ The height of the sunflower after d days is given as 195 + 2.5d

B.

To apply the formula to obtain the height of the sunflower after 22 days and when it is 82 days old, we need to consider the number of days carefully.

We will discover that 22 days after 60 days, is the same length of time as when it is 82 days old.

Applying the formula, we have

height of sunflower after 22 days = 195 + 2.5 (22) = 250 cm

height of sunflower when it is 82 days old = height grown in the first 60 days + height grown in the remaining 22 days.

Since height grown during the first 60 days is 195 cm, we have

height of sunflower after 82 days = 195 + 2.5 (22) = 250 cm