To rent a van, a moving company charges $30.00 plus $0.50 per mile. You are moving a distance of 150 miles and have budgeted $100 for renting the van. Is this enough money? Explain.

$30.00 to rent the van

.50 per mile x 150 miles

.50*150 = $75.00
30.00 + 75.00 = $105.00

you budgeted 100.00 you do not have enough money

To determine if $100 is enough money to rent the van for a distance of 150 miles, we need to calculate the total cost of the rental.

The moving company charges $30.00 as a base fee, regardless of the distance. Additionally, they charge $0.50 per mile. So, for a 150-mile trip, the mileage charge would be calculated as follows:

Mileage charge = 150 miles × $0.50/mile
Mileage charge = $75.00

To find the total cost, we add the base fee to the mileage charge:

Total cost = Base fee + Mileage charge
Total cost = $30.00 + $75.00
Total cost = $105.00

Based on this calculation, the total cost of renting the van for a 150-mile trip is $105.00. Since your budget is $100, it is not enough money to cover the entire rental cost. You would need at least $105.00 to cover the expenses.

To calculate the total cost of renting the van, we need to add the fixed cost of $30.00 to the cost per mile, which is $0.50.

The cost per mile is multiplied by the number of miles traveled, which in this case is 150 miles.

Total cost = Fixed cost + (Cost per mile x Number of miles)
= $30.00 + ($0.50 x 150)
= $30.00 + $75.00
= $105.00

So the total cost of renting the van for 150 miles is $105.00.

Since you have budgeted $100, it is not enough to cover the full cost. You will need an additional $5.00 to cover the total cost of renting the van for 150 miles.