Lesson 3.3: Modeling with Systems of Linear Equations Answers

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21
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Zorah, a musician, pays $120 to have her instrument tuned and $10 per hour for a booth at a fair. She estimates that she earns $25 per hour in tips. The equation can be used to represent the break-even point.120 + 10x = 25xHow many hours, x, will Zorah have to play in order to break even?

A
4
B
5
C
8
D
12
22
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Addison earns a fixed hourly rate working as a sales clerk. If she works on a holiday, she earns a different hourly rate than she earns on a regular day. In one week, she earns $188.50 by working 5 hours on a holiday and 16 hours during regular days. A different week, she earns $254.00 by working 8 hours on a holiday and 20 hours during regular days.How much more is Addison’s holiday hourly rate than her regular hourly rate?

A
$2.00
B
$8.50
C
$10.50
D
$19.00
23

Students are given 3 minutes for each multiple-choice question and 5 minutes for each free-response question on a test. There are 15 questions on the test, and students are given 51 minutes to take it.The system of equations shown can be used to find the number of multiple-choice questions, m, and the number of free-response questions, f, on the test.m + f = 153m + 5f = 51How many multiple-choice questions are on the test?

A
3
B
5
C
12
D
14
24

At his new job, Jeremiah can choose an hourly rate of $9 plus a $50 weekly bonus for opening the store, or an hourly rate of $10 per hour with no opening bonus. The equations model his salary options.y = 9x + 50y = 10x What does x represent?

A
the number of times he opened the store
B
the number of hours worked per week
C
the total amount he earns each week
D
the amount of money earned per day
25

Lily sold 18 items at the street fair. She sold bracelets for $6 each and necklaces for $5 each for a total of $101. Which system of equations can be used to find b, the number of bracelets she sold, and n, the number of necklaces she sold?

A
b + n = 101 6b + 5n = 18
B
b + n = 101 5b + 6n = 18
C
b + n = 18 6b + 5n = 101
D
b + n = 18 5b + 6n = 101

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