Functions Worksheet - Big Ideas Math Prealgebra: A Florida Standards Curriculum Teaching Edition Page 25
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4716.
SAVINGS
You and your friend are saving money to buy
Friend’s Savings
bicycles that cost $175 each. The amount y (in dollars)
y
you save after x weeks is represented by the equation
60
y = 5x + 45. The graph shows your friend’s savings.
50
40
a. Who has more money to start? Who saves more per week?
(3, 39)
30
b. Who can buy a bicycle fi rst? Explain.
20
10
0
17.
REASONING
Can the graph of a linear function be a
0
1
2
3
4 5
6
x
horizontal line? Explain your reasoning.
Weeks
18.
SALARY
The table shows a person’s annual salary y (in thousands
Years of
Annual
Education, x
Salary, y
of dollars) after x years of education beyond high school.
0
28
a. Graph the data. Then describe the pattern.
2
40
b. What is the annual salary of the person after 8 years of
4
52
education beyond high school?
6
64
c. Find the annual salary of a person with 30 years of education.
10
88
Do you think this situation makes sense? Explain.
Problem
Problem
19.
Solving
Solving
The Heat Index is calculated using the relative humidity and
the temperature. For every 1 degree increase in the temperature from
94° F to 98° F at 75% relative humidity, the Heat Index rises 4° F.
F.
a. On a summer day, the relative humidity is 75%, the
temperature is 94° F , and the Heat Index is 122° F.
Construct a table that relates the temperature t to the
Heat Index H. Start the table at 94° F and end it at 98° F.
b. Identify the independent and dependent variables.
c. Write a linear function that represents this situation.
d. Estimate the Heat Index when the temperature is 100° F.
Solve the equation.
(Section 1.1)
∣
∣
3
1
20. b − 1.6 ÷ 4 = − 3
21. w +
− 2.8
= 4.3
= y −
22.
—
—
(8)
4
5
23.
MULTIPLE CHOICE
Which of the following describes the
y
4
translation from the red fi gure to the blue fi gure?
3
(Section 2.2)
2
1
(x − 6, y + 5)
(x − 5, y + 6)
○
○
A
B
4
3
2
1
1
2
3
4
x
(x + 6, y − 5)
(x + 5, y − 6)
○
○
C
D
2
3
4
Section 6.3
Linear Functions
263
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