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Average Rate of Change

Total questions: 5

Worksheet time: 7mins

Name
Class
Date
1.
Average Rate of Change is also known as...
a)

y-intercept

b)

x-intercept

c)

linear

d)

slope

2.

Consider the graph. What is the average of change on the interval 2≤x≤52\le x\le5

​

Formula: f(x2)−f(x1)x2−x1\frac{f\left(x_2\right)-f\left(x_1\right)}{x_2-x_1}

3.

The depth of a river changes after a heavy rainstorm, Its depth, in feet, is modeled as a function of time, in hours.

What's the average increase in depth of water from hour 9 to hour 18?

Only type a number

4.

The table shows the average weight of shrimp a fisherman catches each week.

What is the average rate of change from week 3 to 5?

a)

45.15 pounds per week

b)

71.5 pounds per week

c)

90.3 pounds per week

d)

286.0 pounds per week

5.

f(x) = 3x2 -2x

What is the average rate of change of f(x) on the interval [-2, 1].

(a)