Question 5 • CMS 2026-2027 NC Math 1 CREDIT RECOVERY
The final cost of a sale item is determined by multiplying the price on the tag by 75 percent Which best describes the function that represents the situation? Item Cost Price on the Tag, x Final Cost 10 dollars 0 point 75 repeating 10 20 dollars 0 point 75 repeating 20 30 dollars 0 point 75 repeating 30 40 dollars 0 point 75 repeating 40
Answer
A
It is nonlinear because the price tag and final cost columns do not have the same common difference.
B
It is nonlinear because the final cost is determined by multiplying each price tag by 0 point 75 .
C
It is linear because the ratio of the change in the final cost compared to the rate of change in the price tag is constant.
D
It is linear because the function is continuous.
Explanation
Let x be the price on the tag and y be the final cost. The situation is described by y = 0.75x, so every $1 increase in the tag price increases the final cost by $0.75. Because this rate of change is constant, the function is linear; choice C correctly describes it.
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