Question

A phone company offers two monthly charge plans. In Plan A, the customer pays a monthly fee of $ 20 and then an additional 8 centsper minute of use. In Plan B, the customer pays a monthly fee of $ 24.60 and then an additional 6 cents per minute of use.For what amounts of monthly phone use will Plan A cost less than Plan B?Use m for the number of minutes of phone use, and solve your inequality for m.0OSOD20Х5?

Answer 1

We will have the following:

From the information provided we will have that:

Plan A:

$y=0.08m+20$

Plan B:

$y=0.06m+24.60$

Now, we will determine the value as follows:

$\begin{gathered} 0.08m+20=0.06m+24.60\Rightarrow0.02m=4.6 \\ \\ \Rightarrow m=230 \end{gathered}$

So, the number of minutes for which plan A costs less than plan B is 230.

$m<230$