Question

Question 3

Answer 1

Answer:

$Rate = 19$

Step-by-step explanation:

Given

$y = x^2 + 3x$

$1 \le x \le 15$

Required

Determine the average rate of change

This is calculated as:

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

Where

a = 1 and b = 15

So, we have:

$Rate = \frac{f(15) - f(1)}{15 - 1}$

$Rate = \frac{f(15) - f(1)}{14}$

Solve f(15):

$f(15) = 15^2 + 3*15 = 270$

Solve f(1)

$f(1) = 1^2 + 3*1 = 4$

So:

$Rate = \frac{f(15) - f(1)}{14}$

$Rate = \frac{270- 4}{14}$

$Rate = \frac{266}{14}$

$Rate = 19$