Exponential Functions Quiz

Quiz
•
Mathematics
•
9th Grade
•
Hard
+15
Standards-aligned
Anthony Stassi
Used 6+ times
FREE Resource
18 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A store receives 2,000 decks of popular trading cards. The number of decks of cards is a function, d, of the number of days, t, since the shipment arrived. Here is a table showing some values of d. Calculate the average rate of change for the following intervals: a. day 0 to day 5
400 decks per day
200 decks per day
100 decks per day
50 decks per day
Tags
CCSS.HSF.IF.B.6
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Calculate the average rate of change for the following intervals: b. day 15 to day 20.
100 decks per day
150 decks per day
200 decks per day
250 decks per day
Tags
CCSS.HSF.IF.B.6
3.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
A study was conducted to analyze the deer population in a particular area. Let f be an exponential function that gives the population of deer t years after the study began. If f(t) = a · b^t, and the population is increasing, select all statements that must be true.
A. b > 1
B. b < 1
C. The average rate of change from year 0 to year 5 is less than the average rate of change from year 10 to year 15.
D. The average rate of change from year 0 to year 5 is greater than the average rate of change from year 10 to year 15.
E. a > 0
Tags
CCSS.HSF.IF.A.2
CCSS.HSF.LE.A.1
CCSS.HSF.LE.A.3
CCSS.HSF.LE.B.5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Function $ f $ models the population, in thousands, of a city $ t $ years after 1930. The average rate of change of $ f $ from $ t = 0 $ to $ t = 70 $ is approximately 14 thousand people per year. Is this value a good way to describe the population change of the city over that time period?
Yes, because it provides a simple average over the entire period.
No, because it does not account for variations in population growth.
Yes, because it accurately reflects the population trend.
No, because it is not based on actual population data.
Tags
CCSS.HSF.IF.B.6
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The function, $ f $, gives the number of copies a book has sold $ w $ weeks after it was published. The equation $ f(w) = 500 \cdot 2^w $ defines this function. Select all domains for which the average rate of change could be a good measure for the number of books sold.
0 ≤ w ≤ 2
0 ≤ w ≤ 7
5 ≤ w ≤ 7
5 ≤ w ≤ 10
0 ≤ w ≤ 10
Tags
CCSS.HSF.IF.B.6
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The graph shows a bacteria population decreasing exponentially over time. The equation $ p = 100,000,000 \cdot \left( \frac{2}{3} \right)^h $ gives the size of a second population of bacteria, where $ h $ is the number of hours since it was measured at 100 million. Which bacterial population decays more quickly?
The population shown in the graph
The population described by the equation
Both populations decay at the same rate
It cannot be determined from the given information
Tags
CCSS.HSF.IF.B.4
CCSS.HSF.IF.B.6
CCSS.HSF.IF.C.7
CCSS.HSF.LE.A.1
CCSS.HSF.LE.A.3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Technology required. A moth population, $ p $, is modeled by the equation $ p = 500,000 \cdot \left( \frac{1}{2} \right)^w $, where $ w $ is the number of weeks since the population was first measured. What was the moth population when it was first measured?
500,000
250,000
125,000
62,500
Tags
CCSS.HSF.LE.A.1
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