Question

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.

Answer 1

Answer:

$718\ min$

Step-by-step explanation:

Let

x ----> the number of minutes

y ----> the total charge in dollars

we know that

For x>700 min

$y=0.45x+40$

so

For y=48.10

substitute

$48.10=0.45x+40$

Multiply by 100 both sides

$4,810=45x+4,000$ ----> equation without decimals

solve for x

$45x=4,810-4,000\\45x=810\\x=18\ min$

To find out the total minutes we need to sum

$18\ min+700\ min=718\ min$