Name ________________________________________ Date __________________ Class __________________
LESSON
7-1
Modeling Linear Relationships
Practice and Problem Solving: C
Solve.
1. Mr. Malone can heat his house in the winter by burning three cords of wood, by using
natural gas, or by a combination of the two. His heating budget for the winter is $600.
a. Write a linear equation that
describes the problem.
_______________________
b. Graph the linear equation and
label both axes.
c. If Mr. Malone spends $275 on
natural gas, about how many
cords of wood will he need?
_______________________
2. Timber Hill Tennis Club sells monthly memberships for $72 and tennis rackets for $150
each. The tennis club has a sales goal of $5400 per month.
a. Write a linear equation that
describes the problem.
_______________________
b. Graph the linear equation and
label both axes.
c. If the club sells 50 memberships,
how many rackets must be sold to
meet the goal?
_______________________
3. Brian’s Bakery sells loaves of Italian bread for $3.50 and loaves of rye bread for $2.80.
Brian’s goal is to bring in $420 per day from sales of these two items.
a. Write a linear equation that
describes the problem.
_______________________
b. Graph the linear equation and
label both axes.
c. If Brian sells 100 Italian
loaves, how many rye loaves
must he sell to meet his goal?
_______________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
123
3. a. Variables will vary. 15t + 6s = 900
4.
b.
c. 25 snacks
MODULE 7 Linear Equations
and Inequalities
Practice and Problem Solving: C
1. a. Variables will vary. 200c + g = 600
LESSON 7-1
b.
Practice and Problem Solving: A/B
1 a. Variables will vary. 0.05 p + 0.10c = 500
b.
c. 1.6 cords of wood
2. a. Variables will vary. 72m + 150r = 5400
b.
c. 2000 aluminum cans
2. a. Variables will vary. 2g + s = 300
b.
c. 12 tennis rackets
c. 130 games
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
526
c.
3. a. Variables will vary. 3.5b + 2.8r = 420
b.
c. 25 rye loaves
d. 160 baskets of blueberries
Practice and Problem Solving:
Modified
Reading Strategies
1 a.
1. $35, $80, $1120
Hamburgers
Hot Dogs
0
100
3. 35s + 80g = 1120
40
0
4. Possible answer:
14
65
2. 35s, 80g
b. 2d + 5b = 200
c.
Scientific
Graphing
0
14
32
0
16
7
5.
d. 65 hot dogs
2 a.
Cherries
Blueberries
0
240
180
0
30
200
6. 7
Success for English Learners
1. Set one variable equal to zero and solve
for the other. The intercepts are (0, 60)
and (50, 0)
b. Variables will vary. 4c + 3b = 720
2. 42 taco specials
3. Variables will vary. 4b + 6h = 1200
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
527