Question

Hey, I would appreciate it if you can help me with these problems, been stuck on it for a few days

Answer 1

Answer:

Explained below.

Step-by-step explanation:

The formula for average rate of change is:

$\frac{f(b) - f(a)}{b - a}$

1. $\frac{f(b) - f(a)}{b - a}$ = $\frac{f(2) - f(1)}{2 - 1}$ =  $\frac{100 - 40}{2 - 1}$ =  $\frac{70}{1}$ = 70

2. $\frac{f(b) - f(a)}{b - a}$ = $\frac{f(4) - f(2)}{4 - 2}$ = $\frac{180 -110}{4 - 2}$ = $\frac{70}{2}$ = 35

3. $\frac{f(b) - f(a)}{b - a}$ = $\frac{f(8) - f(6)}{8 - 6}$ = $\frac{350 -230}{8 - 6}$ = $\frac{120}{2}$ = 60

4. $\frac{f(b) - f(a)}{b - a}$ = $\frac{f(10) - f(8)}{10 - 8}$ = $\frac{390 -350}{10 - 8}$ = $\frac{40}{2}$ = 20

5. Their average speed was the greatest during the first to second hour.

6. Their average speed was the least during the eight to tenth hours.

7. $\frac{f(b) - f(a)}{b - a}$ = $\frac{f(10) - f(1)}{10 - 1}$ = $\frac{390 -40}{10 - 1}$ = $\frac{350}{9}$ = 38.89 or 38.9

Hope that helps!