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Average Rate of Change Practice

Total questions: 8

Worksheet time: 38mins

Name
Class
Date
1.
Average Rate of Change is also known as...
a)
y-intercept
b)
x-intercept
c)
linear
d)
slope
2.

Which of the following can be used to find Average Rate of Change?

a)

 y2y1x2x1\frac{y_2-y_1}{x_2-x_1}  

b)

 x2x1y2y1\frac{x_2-x_1}{y_2-y_1}  

c)

 y=mx+by=mx+b  

d)

 ΔyΔx\frac{\Delta y}{\Delta x}  

e)

 y2y1=m(x2x1)y_2-y_1=m\left(x_2-x_1\right)  

3.

What is the average rate of change of y = 2(3)x at [2, 4]?

(a)  

4.

A climber is on a hike. After 2 hours he is at an altitude of 40 feet. After 7 hours, he is at an altitude of 70 feet. The average rate of change is (a)   feet per hour?

5.

The average rate of change from 10 to 30 minutes is (a)   gallons per minute.

6.

The Average Rate of Change of c(x) when  0x30\le x\le3  is (a)   .

7.

f(x) = 2x2 + 12x + 16

What is the average rate of change of f(x) on the interval [3, 5].

(a)  

8.

The slope of the line that passes through the points (2, 6) and (5, 15) is (a)   .