The cost of renting a car from Rent-it Cheap for one day is $29 plus 50 cents per km. For the same period, Thrift Cars charges $37 plus 48 cents per km. When would it be more economical to rent a car from Thrift Cars? from Rent-it-cheap?
Rent it Cheap = 2900 + 50k
Thrift car = 3700+48k
solve
2900+50k = 3700+48k
and use the result to state your conclusion
To determine when it would be more economical to rent a car from Thrift Cars or Rent-it Cheap, we need to compare the total cost for each option based on the number of kilometers you plan to drive.
Let's assume you're planning to drive x kilometers.
For Rent-it Cheap:
The cost for one day is $29 plus 50 cents per kilometer. So the total cost for x kilometers would be:
Cost from Rent-it Cheap = $29 + (0.50 * x)
For Thrift Cars:
The cost for one day is $37 plus 48 cents per kilometer. So the total cost for x kilometers would be:
Cost from Thrift Cars = $37 + (0.48 * x)
To determine when it's more economical to rent from Thrift Cars or Rent-it Cheap, we need to find the point where the cost from Thrift Cars is less than the cost from Rent-it Cheap. In other words, we need to find when the Cost from Thrift Cars is less than the Cost from Rent-it Cheap:
Cost from Thrift Cars < Cost from Rent-it Cheap
Substituting the formulas we derived earlier, we have:
$37 + (0.48 * x) < $29 + (0.50 * x)
Now, let's solve this inequality to find the range of x where it's more economical to rent a car from Thrift Cars:
$37 + (0.48 * x) - $29 < 0.50 * x
$8 + (0.48 * x) < 0.50 * x
$8 < 0.02 * x
Dividing both sides by 0.02:
$400 < x
Therefore, if you plan to drive more than 400 kilometers, it would be more economical to rent a car from Thrift Cars. If you plan to drive less than 400 kilometers, it would be more economical to rent a car from Rent-it Cheap.