MAFS.912.A-CED.1.2
1) Isaac is getting his own cell phone plan and wants to make the best
decision. He decides to compare cell phone plans. MobileONE has an
unlimited talk plan for a flat fee of $80 per month. Talk-A-Lot charges
$0.15 per minute with a monthly fee of $25. By-The-Minute has no
monthly fee, but it is $0.50 per minute.
Explain to Isaac how he can graph these cell phone plans and,
describe what key features of the graphs he should consider when
making a decision about what plan to choose.
2) Chocos is a dish made from wheat, sugar, and cocoa. Bertha is
making a large pot of chocos for a party. Wheat (w) costs $5 per
pound, sugar (s) costs $3 per pound, and cocoa (c) costs $4 per
pound. She spends $48 on 12 pounds of food. She buys twice as
much cocoa as sugar. How much wheat, sugar, and cocoa will she
use (in pounds) in her dish?
MAFS.912.F-IF.1.1
3) Given the following relations, represent it using a graph, a table,
and a mapping diagram and determine if it is a function.
a. {(−3,4), (−2,4), (2,4), (8,4), (−8,4)}
b. {(4,4), (−4,4), (4, −3), (−4, −3), (−2,8)}
c. {(2,0), (0, −5), (−4, −4), (−1,5), (−5,0)}
4) A parking lot charges $0.50 for each half hour or fraction thereof,
up to a daily maximum of $10.00. Let 𝐶(𝑡) be the cost in dollars of
parking for t minutes.
a. Complete the table.
t (minutes)
0
b. Sketch a graph of 𝐶 for
0 ≤ 𝑡 ≤ 480.
c. Is 𝐶 a function of 𝑡? Explain your
reasoning.
15
20
35
75
125
d. Is 𝑡 a function of 𝐶? Explain your reasoning.
C(t) (dollars)
MAFS.912.F-IF.1.2
5) The table below shows the cost of a pizza based on the
number of toppings.
Number of
Toppings (n)
1
2
3
4
Cost (c)
$12.00
$13.50
$15.00
$16.50
Write a function that represents the cost of a pizza with n toppings?
6) Terrelle is selling rings. His monthly operational costs to run his
business are $2000 a month. He buys each ring for $30 and is able to
sell them for $150 each.
 Write an equation in function notation to model this situation.
 If Terrelle predicts he will sell 35 rings a month, what is his annual
income from selling rings?
MAFS.912.F-IF.2.4
7) The graph displays the relationship between the passage of time and
the speed at which Jake travels in the first 25 minutes of a bicycle race.
Bike Race
Bike Speed (in
miles per hour)
Time (in minutes)
Evaluate each interpretation of the graph. Explain why each interpretation
does or does not describe the graph.
A) Jake starts the race and increases his speed. After 10 minutes, his bike
tire goes flat, and he is unable to continue in the race.
B) Jake starts the race and increases his speed. He then maintains a steady
pace for the next portion of the race.
C) Jake pedals up a hill and then pedals along a flat road on the top of the
hill.
MAFS.912.F-IF.2.4 (cont.)
Time
(in minutes)
Distance
(in yards)
0
3
5
6
10
12
15
18
20
0
20
30
15
40
10
30
30
0
Distance (in
yards)
8) Brad loves to surf. The table shows Brad’s distances from the shore at
different times as he paddles out and rides the waves back to shore.
Time (in minutes)
Answer the questions based on the values in the table. A graph is available
if you wish to graph the data.
A. What is Brad’s maximum distance from shore, and what is Brad’s
minimum distance from shore?
B. Interpret the x-intercepts (i.e., the time-intercepts) of the graph of this
data in the context of this problem. What is Brad doing at these points?
C. How can you identify the x-intercepts (i.e., the time-intercepts) without
graphing the data?
MAFS.912.F-IF.2.5
A doctor wants to compare the relationship between height and shoe size. He uses data
from his patients between 6 and 13 years old to make one graph and data from his
patients between 14 and 19 years old to make another graph.
Patients between 14-19 Years
Shoe Size
Shoe Size
Patients between 6-13 Years
Height (in centimeters)
Height (in centimeters)
Identify the domain of each graph and describe its meaning in terms of the
context.
A. Patients between ages 6-13 years:
B. Patients between ages 14-19 years:
MAFS.912.F-IF.2.5 (cont.)
An economics teacher plotted the value of a stock on 11 different days
during a 500-day period and used line segments to connect the values. In
the graph below, the horizontal axis is measured in days and the vertical
axis is measured in dollars.
A. Based on the graph, what would be the relative minimum for the 500
day period? The maximum?
B. Based on the same graph above regarding stock values, what best
describes the range of the value of the stock for this 500-day period?
MAFS.912.F-IF.3.9
Distance From School
When Riding His Bike
The graph models Jeremy’s distance (in
kilometers) from school (along the bike route)
after t minutes on his bike.
distance (in kilometers) from school (along the
bus route) after t minutes on the bus.
Distance (in km)
1
The equation 𝑑 = − 2 𝑡 + 6 models Jeremy’s
Time (in minutes)
1. Which mode of transportation travels farther to get to school? Explain how you determined this.
2. Which mode of transportation takes less time to get Jeremy to school? Show your work and justify
your answer.
MAFS.912.F-IF.3.9 (cont.)
Messages Received by the Daughter
Explain the difference in the rates of change in the number of messages
the mother receives and the number of messages the daughter receives.
Whose number of daily messages is increasing more rapidly? Justify
your answer
Number of Messages
A mother and daughter decided to register for a social media group. The
number of messages received by the mother on day n is given by the equation
M = 4n. The graph shows the number of messages received by the daughter
on day n (where n is the number of days since joining the group).
Number of Days Since Joining
the Group