# Sunset rents an SUV at \$21.95 plus \$0.23 per mile. Sunrise rents the same vehicle for \$24.95 plus \$0.19 per mile. For what mileage is the cost the same?

I wish I could help but I don't know it either sorry!Can you help me?

I don't know how to do your either!LOL SOrrYz!

CostSunset= 21.95 + miles*.23
CostSunrise=24.95 + miles*.19

set these two cost equal, that is..
21.95 + miles*.23=24.95 + miles*.19
and solve for miles.

BUT HOW WOULD I SOLVE IT?DO I LEAVE THAT MILES THING IN IT OR CAN I JUST PUT M?

## bert's cab company charges \$1.00 plus an additional\$3.00per mile for a ride

Madeline's cab company charges\$3.00 plus an additional \$2.00 per mile for a ride
write a system of linear equation that show the cost in dollars y, for a cab ride of x miles for each cab driver

## When solving the equation, you want to isolate the variable, which in this case is the number of miles. You can represent the number of miles using any letter, such as "m" or "x". So, yes, you can use "m" to represent the number of miles.

To solve the equation, follow these steps:

1. Start with the equation: 21.95 + 0.23m = 24.95 + 0.19m.
2. Begin by simplifying both sides of the equation: subtract 0.19m from both sides to eliminate the term on the right side.
This gives you: 21.95 + 0.23m - 0.19m = 24.95.
3. Combine like terms on the left side of the equation: 0.23m - 0.19m can be simplified to 0.04m.
The equation now becomes: 21.95 + 0.04m = 24.95.
4. Next, subtract 21.95 from both sides to isolate the term with the variable:
21.95 + 0.04m - 21.95 = 24.95 - 21.95.
This simplifies to: 0.04m = 3.
5. Finally, divide both sides of the equation by 0.04 to solve for the value of m:
m = 3 รท 0.04.
This gives you the mileage at which both costs are equal.

At this point, you can use a calculator to find the exact value of m, which is 75. divide 3 by 0.04, resulting in m=75.

Therefore, the cost will be the same when the mileage is 75 miles.