Question

The table shows two options provided by a high speed internet provider.

Answer 1

First, we need to find the equation for both options

x= number of months

y=total cost

The Option 1 equation

`y=35+20x`

The Option 2

`y=25x`

In order to know how many months both options will cost the same.

we need to match both equations

`35+20x=25x`

then we need to isolate the x

`\begin{gathered} 25x-20x=35 \\ 5x=35 \\ x=(35)/(5) \\ x=7 \end{gathered}`

In 7 months the total cost of both options will be the same

In order to know the cost, we substitute the value of x in the first equation

y=35+20(7)

y=35+140

y=175

The cost will be $175