
Understanding Linear and Exponential Growth

Interactive Video
•
Mathematics
•
7th - 10th Grade
•
Hard
+3
Standards-aligned

Liam Anderson
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main difference between linear and exponential growth?
Linear growth increases by a constant percentage, while exponential growth increases by a constant amount.
Both linear and exponential growth increase by a constant percentage.
Linear growth increases by a constant amount, while exponential growth increases by a constant percentage.
Both linear and exponential growth increase by a constant amount.
Tags
CCSS.HSF.BF.A.2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a linear growth model, if the initial quantity is P0 and it grows by D units every period, what is the explicit formula?
P_n = P_0 * D^n
P_n = P_0 + D * n
P_n = P_0 * D * n
P_n = P_0 + D^n
Tags
CCSS.HSF.IF.A.3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For exponential growth, if the initial quantity is P0 and it grows by R percent every period, what is the recursive formula?
P_n = P_0 + R * n
P_n = (1 + R) * P_n-1
P_n = P_0 * (1 + R)^n
P_n = P_n-1 + R
Tags
CCSS.HSF-LE.A.1A
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example of the elk population, what is the growth rate used in the exponential model?
20%
25%
15%
10%
Tags
CCSS.8.F.A.2
CCSS.HSF.IF.C.9
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When comparing linear and exponential growth, which model shows a faster increase in population over time?
Linear growth
Both increase at the same rate
Exponential growth
Neither, they both decrease
Tags
CCSS.HSF-IF.C.8B
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the Flagstaff population example, what is the common difference used in the linear growth model?
1,500
1,300
1,200
1,000
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the predicted population of Flagstaff in 5 years using the linear growth model?
71,500
73,000
70,000
72,500
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