One cell phone plan costs $39.95 per month. The first 500 minutes of usage are free. Each minute thereafter costs $.35. Write a rule that describes the total monthly cost as a function of the number of minutes of usage (over 500 minutes). Then find the number of minutes of usage over 500 minutes for a bill of $69.70?

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One cell phone plan costs $39.95 per month. The first 500 minutes of usage are free. Each minute thereafter costs $.35. Write a rule that describes the total monthly cost as a function of the number of minutes of usage (over 500 minutes). Then find the number of minutes of usage over 500 minutes for a bill of $69.70?

Mathematics
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Let c=cost and m=minutes of usage(over 500 minutes) c=.35m+39.95
So to find the number of minutes over 500 for a bill of $69.70, substitute 69.70 into the equation for c and solve for m
c = $39.95 + $0.35 e Now to find the number of minutes over 500 in a bill of $69.7 $69.7 = $39.95 + $0.35 e $29.75 = $0.35e $29.75 / $0.35 = e 85 min = e The person talked an extra 85 min over 500 min, or a total of 585 minutes used.

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