5
QuizMultiple Choice

Modeling with Systems of Linear Inequalities

Question 5 • (AG Q4) Keystone Algebra 1 Block: 25-26 (DDiamond)

A baker makes apple tarts and apple pies each day. Each tart, t, requires 1 apple, and each pie, p, requires 8 apples. The baker receives a shipment of 184 apples every day. If the baker makes no more than 40 tarts per day, which system of inequalities can be used to find the possible number of pies and tarts the baker can make?

Answer
A
t ≤ 40 p ≤ 184
B
t ≤ 40 8p ≤ 184
C
t ≤ 40p + 8t ≤ 184
D
t ≤ 408p + t ≤ 184

Explanation

The baker can make at most 40 tarts, so t ≤ 40. Tarts use t apples and pies use 8p apples, for a total of t + 8p apples; this cannot exceed the 184 apples shipped, so t + 8p ≤ 184. These inequalities are shown in choice D.

AI-written and checked against the verified answer.

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