6
QuizMultiple Choice

Modeling with Systems of Linear Equations

Question 6 • (OC27) MATH COLL ALGEBRA-1200710-S1-Degele-VOL7006P

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?

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

Explanation

Let h be the holiday hourly rate and r the regular hourly rate. The two weeks give 5h + 16r = 188.50 and 8h + 20r = 254. Solving these equations gives h = $10.50 and r = $8.50, so the holiday rate is $10.50 − $8.50 = $2.00 more. The correct choice is A, $2.00.

AI-written and checked against the verified answer.

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