4
QuizMultiple Choice

Slope-Intercept Form of a Line

Question 4 • GA-Algebra: Concepts and Connections CR

Grace is comparing cell phone plans. A prepaid phone plan costs $0.20 per minute and has no monthly fee. A contracted phone plan costs $50 per month and $0.02 per minute. How will the graphs of the monthly costs of the two cell phone plans compare where x represents minutes purchased in a month?

Answer
A
The prepaid phone plan will have a steeper line and lower y-intercept.
B
The contracted phone plan will have the same steepness and a higher y-intercept.
C
The prepaid phone plan will have a less steep line and the same y-intercept.
D
The contracted phone plan will have a steeper line and same y-intercept.

Explanation

The prepaid plan costs $0.20 per minute with no monthly fee, so its cost is y = 0.20x and its y-intercept is $0. The contracted plan costs $50 plus $0.02 per minute, so its cost is y = 50 + 0.02x. Since 0.20 is greater than 0.02, the prepaid plan’s line is steeper, and its y-intercept is lower.

AI-written and checked against the verified answer.

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