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* For his phone service, Goran pays a monthly fee of $24, and he pays an additional $0.06 per minute of use. The least he has been charged in a month is $93.96

*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.​

Respuesta :

MrRoyal

Answer:

[tex]m \geq 1166[/tex]

Step-by-step explanation:

Given

[tex]Base\ Amount = \$24[/tex]

[tex]Charges = \$0.06[/tex] per minute

[tex]Least\ Monthly\ Charges = \$93.96[/tex]

Required

Determine the possible number of minutes

If for 1 minute, he's charged $0.06;

He'll be charged $0.06m for m minutes

Representing this as an inequality, we have:

[tex]Base\ Amount + m\ Charges \geq\ Least\ Monthly\ Charges[/tex]

[tex]24 + 0.06m \geq 93.96[/tex]

Solve for 0.06m

[tex]0.06m \geq 93.96 - 24[/tex]

[tex]0.06m \geq 69.96[/tex]

Solve for m

[tex]m \geq 69.96/0.06[/tex]

[tex]m \geq 1166[/tex]

This implies that, he's charged for at least 1166 minutes