For her phone service, Lisa pays a monthly fee of $27, and she pays an additional $0.05 per minute of use. The least she has been has been charged in a month is $90.70. What are the possible number of minutes she has used her phone in a month? Use m for the number of minutes, and solve your inequality for m.

Respuesta :

The equation to find the amount of money spent is 27 + 0.05m. This equation, in this case, needs to be larger or equal to 90.70. So our inequality would be:

27 + 0.05m >= 90.70

Now we can solve this equation for m.

27 + 0.05m >= 90.70
0.05m >= 63.70
m >= 1274

The number of minutes extra she could have used her phone is required.

Any number of minutes more than 1274 minutes will result in a charge greater than 90.7 dollars.

Initial fee = $27

Per minute fee = $0.05

Number of minutes spoken = m

The least amount of money charged = $90.70

The inequality is

[tex]27+0.05m\geq 90.7\\\Rightarrow m\geq \dfrac{90.7-27}{0.05}\\\Rightarrow m\geq 1274[/tex]

At least 1274 minutes were spoken which would result in a charge of 90.7 dollars or more.

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