Question

find the rate of change of pete’s height from 3 to 5 years.
time(years) | height (in.)
--- | ---
1 | 27
2 | 35
3 | 37
4 | 42
5 | 45
6 | 49

Explanation:

Step1: Identify values at t=3 and t=5

At \( t = 3 \) years, height \( h_1 = 37 \) cm (assuming unit is cm, maybe typo in "m"). At \( t = 5 \) years, height \( h_2 = 45 \) cm. Time change \( \Delta t = 5 - 3 = 2 \) years. Height change \( \Delta h = 45 - 37 = 8 \) cm.

Step2: Calculate rate of change

Rate of change \( = \frac{\Delta h}{\Delta t} = \frac{8}{2} = 4 \) cm/year.

Answer:

The rate of change of Pete’s height from 3 to 5 years is 4 cm per year.