AnswersFL-1200710-Mathematics for College Algebra AModeling with Systems of Linear Equations

Modeling with Systems of Linear Equations Answers

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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
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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
3

A salesperson earns a commission based on the number and type of vehicle sold. A person selling 6 cars and 3 trucks earns $4,800. A person selling 8 cars and 1 truck earns $4,600. How much does a salesperson earn for selling 2 cars and 3 trucks?

A
$2,500
B
$2,700
C
$2,800
D
$3,000
5

Nina is 10 years younger than Deepak. Deepak is 3 times as old as Nina. Which system of equations can be used to find d, Deepak's age, and n, Nina's age?

A
d = n + 10 d = 3n
B
d = n − 10 d = 3n
C
d = n + 10 n = 3d
D
d = n − 10 n = 3d

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