TLDR: 1 is 3, 2 is 5, 3 is 8.
Luckily for you, question 1 and 2 are linear functions. You don’t have to do any extra calculations to find the rate of change, because it’s always consistent. Question 1 is 3, and question 2 is 5.
Question 3 involves the evaluation of a quadratic, so we have to do a little bit of math. Plug in the two endpoints of the interval into the equation to obtain their y-coordinate values; we’ll use these points to calculate the slope.
(1,3) and (3, 19)
Now, using the slope formula:
M=y2-y1 = 19-3 = 16=8
x2-x1 3-1 2
The slope for Question 3 is 8.
