Answer:
It would cost $39.95 in a month when you use the internet for 14 hours.
Step-by-step explanation:
Suppose, the internet is used for [tex]x[/tex] hours and the monthly total cost is [tex]y[/tex] dollars.
The internet company charges $4.95 per month plus $2.50 for each hour of use.
That means, fixed cost is $4.95 per month and the cost for [tex]x[/tex] hours of use [tex]= \$2.50x[/tex]
So, the linear equation in slope intercept form to model the situation will be: [tex]y=2.50x+4.95[/tex]
Now, if [tex]x= 14[/tex] hours, then [tex]y=2.50(14)+4.95=39.95[/tex]
So, it would cost $39.95 in a month when you use the internet for 14 hours.