Dan's long-distance phone carrier charges him $3.95 a month for service. In addition, Dan is charged 5 cents a minute for the calls he makes. If his monthly bill is $48.50, how many minutes of calls did he make?

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Answer 1 · 2016-11-11T15:08:57

Dan made 891 minutes of calls.

The formula for the cost of Dan's phone can be written as:

$c = $ 3.95 + ($ 0.05 \times m)$ $c = $3.95 + ($0.05 xx m)$ where $c$ $c$ is the total cost and $m$ $m$ is the minutes of calls he made.

Because we know $c$ $c$ we can update this equation to:

$$ 48.50 = $ 3.95 + ($ 0.05 \times m)$ $$48.50 = $3.95 + ($0.05 xx m)$

Solving for $m$ $m$ while keeping the equation balanced gives:

$$ 48.50 - $ 3.95 = $ 0.05 \times m$ $$48.50 - $3.95 = $0.05 xx m$

$$ 44.55 = $ 0.05 \times m$ $$44.55 = $0.05 xx m$

$\frac{$ 44.55}{$ 0.05} = \frac{$ 0.05 \times m}{$ 0.05}$ $($44.55)/($0.05) = ($0.05 xx m)/($0.05)$

$m = 891$ $m = 891$