Suppose a plant has height 1.75 feet and it grows by 0.5 feet each month. Class 9

Suppose a plant has height 1.75 feet and it grows by 0.5 feet each month. Class 9

Question 1.

Suppose a plant has height 1.75 feet and it grows by 0.5 feet each month. Class 9

i. Find the height after 7 months.

ii. Make a table of values for t varying from 0 to 10 months and show how the height h, increases every month.

iii. Find an expression that relates h and t, and explain why it represents linear growth.

Solution:

Initial height of the plant = 1.75 feet

Plant growth per month = 0.5 feet

i. Number of months (t) = 7

Height after t months

= Initial height + (Growth per month × t)

∴ Height after 7 months = 1.75 + (0.5 × 7)

= 1.75 + 3.5 feet

= 5.25 feet

∴ The height of the plant after 7 months is 5.25 feet

ii.

iii. The linear expression that relates height (h) and time (t) is h = 1.75 + 0.5t

Every month, the plant's height increases by a fixed number 0.5 feet.

∴ It represents linear growth.