A cell phone company has a basic plan of $40 plus $0.45 for any minutes over 700. Before receiving his statement, John saw he was charged a total of $48.10. Write and solve an equation to determine how many minutes he must have used during the month. Write an equation without decimals.

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calculista calculista · Answer 1 · 2020-03-18T02:07:02+01:00

Answer:

[tex]718\ min[/tex]

Step-by-step explanation:

Let

x ----> the number of minutes

y ----> the total charge in dollars

we know that

For x>700 min

[tex]y=0.45x+40[/tex]

so

For y=48.10

substitute

[tex]48.10=0.45x+40[/tex]

Multiply by 100 both sides

[tex]4,810=45x+4,000[/tex] ----> equation without decimals

solve for x

[tex]45x=4,810-4,000\\45x=810\\x=18\ min[/tex]

To find out the total minutes we need to sum

[tex]18\ min+700\ min=718\ min[/tex]