AnswersAZ-Algebra 1A MA101Writing Linear EquationsQuestion 4
4
AssignmentMultiple Choice

Writing Linear Equations

Question 4 • AZ-Algebra 1A (MA101)

Pedro works as a newspaper deliverer. He receives a base pay plus an additional amount per newspaper delivered. Last week, Pedro delivered 5 newspapers and earned $37.50. This week, he delivered 20 newspapers and earned $75. Let x equal the number of newspapers Pedro delivers and y be the earnings he receives in dollars. Which linear function models the scenario?

Answer
A
g(x) = 0.4x + 35.5
B
g(x) = 0.4x + 67
C
g(x) = 2.5x + 25
D
g(x) = 2.5x + 50

Explanation

The additional pay per newspaper is the change in earnings divided by the change in newspapers: ($75 − $37.50) ÷ (20 − 5) = $2.50 per newspaper. Using the first week’s earnings, the base pay is $37.50 − ($2.50 × 5) = $25. So the model is g(x) = 2.5x + 25, choice C.

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