
Integrating Real-World Problems: Average Values & Distance
Authored by Anthony Clark
English, Mathematics
9th Grade
CCSS covered

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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A car travels along a straight road, and its speed is given by the function v(t) = 4t + 2, where t is in hours. Find the total distance traveled by the car from t = 1 to t = 3 hours.
18
20
15
25
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The area under the curve of the function f(x) = 3x^2 from x = 0 to x = 2 represents the total amount of paint needed to cover a wall. Calculate the area.
8
4
10
6
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A farmer wants to find the average height of his corn plants over a growing season. The height of the plants can be modeled by the function h(t) = 2t^2 + 3t, where t is in weeks. Find the average height from week 1 to week 5.
15
25
40
31
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A water tank is being filled at a rate modeled by the function r(t) = 5t + 10 liters per hour. How much water is in the tank after 4 hours?
100 liters
60 liters
40 liters
80 liters
Tags
CCSS.HSF.IF.A.2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The temperature of a substance is modeled by the function T(t) = 20 + 10sin(t), where t is in hours. Find the average temperature of the substance over a 2-hour period.
25.54
22.10
30.00
15.75
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A cyclist travels along a path where their speed is given by s(t) = 6t - 1. Calculate the total distance traveled by the cyclist from t = 0 to t = 5 seconds.
50
70
60
80
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The revenue generated by a small business can be modeled by the function R(x) = 50x - 2x^2, where x is the number of items sold. Find the total revenue generated when 10 items are sold.
400
250
300
150
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