Grace is comparing cell phone plans. A prepaid phone plan costs 0 point 2 0 dollars per minute and has no monthly fee. A contracted phone plan costs 50 dollars per month and 0 point 0 2 dollars 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?

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 $0.02 per minute plus $50, so its cost is y = 0.02x + 50. Since 0.20 is greater than 0.02, the prepaid plan’s line is steeper, and its y-intercept is lower than the contracted plan’s.

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