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AssignmentMultiple Choice

Lesson 3.3: Modeling with Systems of Linear Equations

Question 1 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

Charlotte’s weekly paycheck is based on the number of hours worked during the week and on the weekend. If she works 13 hours during the week and 14 hours on the weekend, she earns $250.90. If she works 15 hours during the week and 8 hours on the weekend, she earns $204.70. How much more does Charlotte earn per hour on the weekends than she earns during the week? Round to the nearest cent.

Answer
A
$0.40
B
$1.90
C
$2.30
D
$8.10

Explanation

Let x be Charlotte’s weekday hourly pay and y her weekend hourly pay. The equations are 13x + 14y = 250.90 and 15x + 8y = 204.70; solving gives x = $8.10 and y = $10.40. The weekend rate is $10.40 − $8.10 = $2.30 more per hour, so the correct choice is $2.30.

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