Math

QuestionCalculate the total cost for a 2-week car rental at \$170/week plus \$1/mile for 500 miles. Round to the nearest dollar.

Studdy Solution

STEP 1

Assumptions1. The car rents for 170perweek.Thecostpermileis170 per week. The cost per mile is 1.003. The trip duration is two weeks4. The trip distance is500 miles5. The rental cost is divided equally among three people

STEP 2

First, we need to calculate the cost of the car rental for two weeks. We can do this by multiplying the weekly rental rate by the number of weeks.
Rentalcostfortwoweeks=WeeklyrentalratetimesNumberofweeksRental\, cost\, for\, two\, weeks = Weekly\, rental\, rate \\times Number\, of\, weeks

STEP 3

Now, plug in the given values for the weekly rental rate and the number of weeks to calculate the rental cost for two weeks.
Rentalcostfortwoweeks=$170times2Rental\, cost\, for\, two\, weeks = \$170 \\times2

STEP 4

Calculate the rental cost for two weeks.
Rentalcostfortwoweeks=$170times2=$340Rental\, cost\, for\, two\, weeks = \$170 \\times2 = \$340

STEP 5

Next, we need to calculate the cost of the mileage for the trip. We can do this by multiplying the cost per mile by the number of miles.
Mileagecost=CostpermiletimesNumberofmilesMileage\, cost = Cost\, per\, mile \\times Number\, of\, miles

STEP 6

Now, plug in the given values for the cost per mile and the number of miles to calculate the mileage cost.
Mileagecost=$1.00times500Mileage\, cost = \$1.00 \\times500

STEP 7

Calculate the mileage cost.
Mileagecost=$1.00times500=$500Mileage\, cost = \$1.00 \\times500 = \$500

STEP 8

Now that we have the rental cost for two weeks and the mileage cost, we can find the total cost of the trip. This includes both the rental cost and the mileage cost.
Totalcost=Rentalcostfortwoweeks+MileagecostTotal\, cost = Rental\, cost\, for\, two\, weeks + Mileage\, cost

STEP 9

Plug in the values for the rental cost for two weeks and the mileage cost to calculate the total cost.
Totalcost=$340+$500Total\, cost = \$340 + \$500

STEP 10

Calculate the total cost of the trip.
Totalcost=$340+$500=$840Total\, cost = \$340 + \$500 = \$840

STEP 11

Now that we have the total cost of the trip, we can divide this by the number of people (3) to find the cost per person.
Costperperson=Totalcost/NumberofpeopleCost\, per\, person = Total\, cost / Number\, of\, people

STEP 12

Plug in the values for the total cost and the number of people to calculate the cost per person.
Costperperson=$840/Cost\, per\, person = \$840 /

STEP 13

Calculate the cost per person.
Costperperson=$840/3=$280Cost\, per\, person = \$840 /3 = \$280Each person needs to pay $280 for the trip.

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