Sunshine Rental rents a motorcycle at a daily rate of $57.99 plus 48 cents per mile. City Rentals rents the same motorcycle at $58.95 plus 46 cents per mile. For what mileage is the cost the same?

48 miles

Step-by-step explanation:

To find the mileage when both cost the same, first form two equations for the total cost for each rental place.

Let the mileage be m.

Sunshine Rental

Daily rate= $57.99

Total cost= $(57.99 +0.48m)

City Rentals

Daily rate= $58.95

Total cost= $(58.95 +0.46m)

Let's equate both equations together.

When both costs the same,

57.99 +0.48m= 58.95 +0.46m

0.48m -0.46m= 58.95 -57.99

0.02m= 0.96

Solve for m:

m= 0.96 ÷0.02

m= 48

The cost is the same at 48 miles.

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.