
Linear vs. Exponential: Functions and Their Graphs
Authored by Anthony Clark
English, Mathematics
8th Grade
CCSS covered

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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write the linear function that represents the total cost (C) in terms of miles driven (m).
C(m) = 50 - 0.20m
C(m) = 50 + 0.50m
C(m) = 0.20m
C(m) = 50 + 0.20m
Tags
CCSS.HSF.LE.A.2
CCSS.8.F.B.4
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A bacteria culture doubles in size every hour. If the initial size is 100 bacteria, write an exponential function that represents the size of the culture after t hours.
f(t) = 100 * 2^t
f(t) = 100 + 2^t
f(t) = 100 * 3^t
f(t) = 50 * 2^t
Tags
CCSS.HSF.LE.A.2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A local gym has a membership fee of $30 per month. If they have 50 members, write a linear function to represent the total monthly income (I) from memberships.
I = 50m
I = 30 + m
I = 30m, where m is the number of members.
I = 15m
Tags
CCSS.HSF.LE.A.2
CCSS.8.F.B.4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A tree grows at a rate of 5% per year. If the tree is currently 10 feet tall, write an exponential function to represent its height (H) after t years.
H(t) = 10 * (0.95)^t
H(t) = 10 + 5t
H(t) = 10 * (1.05)^t
H(t) = 10 * (1.10)^t
Tags
CCSS.HSF.LE.A.2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A phone company offers a plan that costs $40 per month plus $0.10 per text message. Write the linear function for the total cost (C) based on the number of text messages (n) sent.
C(n) = 40 + 0.10n
C(n) = 0.10n - 40
C(n) = 40 + n
C(n) = 40n + 0.10
Tags
CCSS.HSF.LE.A.2
CCSS.8.F.B.4
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A population of rabbits increases by 15% each year. If there are currently 200 rabbits, write an exponential function to model the population after t years.
P(t) = 200 + 15t
P(t) = 200 * (1.05)^t
P(t) = 200 * (1.15)^t
P(t) = 200 * (0.85)^t
Tags
CCSS.HSF.LE.A.2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A taxi service charges a base fare of $3 plus $2 per mile. Write the linear equation that represents the total fare (F) based on the number of miles (m) driven.
F = 2m - 3
F = 3m + 2
F = 2 + 3m
F = 3 + 2m
Tags
CCSS.HSF.LE.A.2
CCSS.8.F.B.4
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