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For his phone service, Jose pays a monthly fee of $11, and he pays an additional $0.07 per minute of use. The least he has been charged in a month is $110.96.What are the possible numbers of minutes he has used his phone in a month?Use m for the number of minutes, and solve your inequality for m.

Question

For his phone service, Jose pays a monthly fee of 11,andhepaysanadditional11, and he pays an additional 0.07 per minute of use. The least he has been charged in a month is $110.96.What are the possible numbers of minutes he has used his phone in a month?Use m for the number of minutes, and solve your inequality for m.

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Solution

The total amount Jose pays is made up of two parts: the fixed monthly fee and the variable cost per minute of use. This can be represented by the equation:

110.96 = 11 + 0.07m

To find the number of minutes (m), we first need to isolate the variable term on one side of the equation. We can do this by subtracting the fixed monthly fee from both sides:

110.96 - 11 = 0.07m

99.96 = 0.07m

Next, we divide both sides of the equation by 0.07 to solve for m:

m = 99.96 / 0.07

m = 1428

So, Jose must have used his phone for at least 1428 minutes in a month.

This problem has been solved

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