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 monthy costs of the two cell phone plans compare where x represents minutes purchased in a month?

The prepaid phone plan will have a steeper line and lower y-intercept.

The contracted phone plan will have the same steepness and a higher y-intercept.

The prepaid phone plan will have a less steep line and the same y-intercept.

The contracted phone plan will have a steeper line and same y-intercept.

Question

Mathematics

Hezekiah Villegas

28 September, 03:56

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 monthy costs of the two cell phone plans compare where x represents minutes purchased in a month?

The prepaid phone plan will have a steeper line and lower y-intercept.

The contracted phone plan will have the same steepness and a higher y-intercept.

The prepaid phone plan will have a less steep line and the same y-intercept.

The contracted phone plan will have a steeper line and same y-intercept.

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Answers (1)

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Amani · Answer 1

The answer to this question would be: The prepaid phone plan will have a steeper line and lower y-intercept.

The prepaid phone cost starts at $0 but the cost per minute is more expensive. That means the y-intercept of the prepaid is 0, but the increase will be stepper compared to the contracted phone. For small usage, this plan is better.

The contracted one need you to pay $50 from the start so the y-intercept would be 50, higher than prepaid. But the cost per minute is 1/10 of prepaid, so the increase is flatter and this plan is better for big usage.