Exponential Functions Average Rate of Change

Quiz
•
Mathematics
•
9th Grade
•
Hard
+1
Standards-aligned
Anthony Clark
FREE Resource
20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the average rate of change between when x = -1 and x = 0?
-2
2
1/2
-1/2
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
James bought a car worth $22,000 that loses 10% of its value every year. The value of the car after x years can be modeled by the function f(x) = 22,000(.9)x.
What is the average rate of change between 0 and 4 years?
$-1,100/year
$-1521.12/year
$-1,776/year
$-1,891.45/year
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Iris founded a new town, Iristown. The population of Iristown after x years can be modeled by the function p(x) = 1500(1.1)x. On average, how fast is the population increasing between years 0 and 10?
212.12 people/year
251.11 people/year
239.06 people/year
391.29 people/year
Tags
CCSS.HSF.LE.B.5
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the average rate of change over the interval [0,3]?
21
-21
1/21
-1/21
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
5.
OPEN ENDED QUESTION
1 min • 1 pt
An initial investment of $1000 reaches a value, V(t), according to the model V(t) = 1000(1.01)^(4t), where t is the time in years. Determine the average rate of change, to the nearest dollar per year, of this investment from year 2 to year 7.
Evaluate responses using AI:
OFF
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
6.
FILL IN THE BLANK QUESTION
1 min • 1 pt
Find the average rate of change for the interval [0, 3] for the function given below.
f(x) = 3x + 7 + 10
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
7.
MATH RESPONSE QUESTION
1 min • 1 pt
Mathematical Equivalence
ON
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
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