Sandy is upgrading her internet service . fast internet charges $60 for installation and $50.45 per month. quick internet has free installation but charges $57.95 per months. write an equation that can be used to find the number of months at which the internet service would cost the same and solve the equation.

For fast internet:

y=50.45x+60

For quick internet:

y=57.95x

Step-by-step explanation:

Let's let x equal the number of months that payment is made.

$60 is constant, because it is only charged once.

Let's let y equal the total cost for x amount of months.

The equations will equal each other when the payment has reached the same amount.

50.45x+60=57.95x 

deez nu tz

step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!