Linear Systems Word Problem

Question

Josie wants to buy Internet access. One service provider charged a flat rate of $34.95/month. A second charges $25/month plus $0.33/hour. For what number of hours per month should Josie choose the flat rate? (Need answer not in graphing)

Answer 1

Hi Laura,

 

Let's begin by determining the number of hours (x) for which both rates are equal.  Then we can know that the flat rate will be preferable for any hours greater than (x).

 

So let's equate both rates and solve for (x):

    34.95 = 25 + 0.33x

    0.33x = 34.95 - 25

    0.33x = 9.95

    x = 9.95/0.33

    x = 995/33

    x = 30 and 5/33 hours (both rates equal)

 

Therefore, the flat rate will be preferable for 31 hours and above.

 

Thanks for submitting this problem and glad to help.

 

God bless, Jordan.