Question

A cellular family phone plan cost $49 per minute plus five cents per minute of long distance service. Write an equation for the monthly payment b when M minutes of long distance service are used.

Answer 1

The equation for monthly payment is b = 49.05M.

SOLUTION:

Given, a cellular family phone plan cost $49 per minute plus five cents per minute of long distance service. We have to write an equation for the monthly payment b when M minutes of long distance service are used.

Now, given that,

$\begin{array}{l}{\text { Monthly payment = } \ 49 \text { per minute plus five cents per minute of long distance }} \\\\ {\Rightarrow \ 49 \times \text { number of minutes }+\ 0.05 \times \text { number of minutes of long distance }} \\\\ {\Rightarrow \mathrm{b}=49 \times \mathrm{M}+0.05 \times \mathrm{M} \rightarrow \mathrm{b}=49 \mathrm{M}+0.05 \mathrm{M} \rightarrow \mathrm{b}=49.05 \mathrm{M}}\end{array}$

Equation:

An equation is a statement that the values of two mathematical expressions are equal (indicated by the sign =)