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QuestionEaston can rent a car for \$49.67/day and \$0.14/mile. With \$290 and driving 475 miles, how many days can he rent?

Studdy Solution

STEP 1

Assumptions1. The daily rental cost is 49.67.Thecostpermiledrivenis49.67. The cost per mile driven is 0.143. Easton plans to drive475 miles4. Easton's budget is $290

STEP 2

First, we need to calculate the total cost for the miles Easton plans to drive. We do this by multiplying the number of miles by the cost per mile.
Costmiles=Number of milestimesCost per mileCost_{miles} = Number\, of\, miles \\times Cost\, per\, mile

STEP 3

Now, plug in the given values for the number of miles and cost per mile to calculate the cost for the miles.
Costmiles=475times$0.14Cost_{miles} =475 \\times \$0.14

STEP 4

Calculate the cost for the miles.
Costmiles=475times$0.14=$66.Cost_{miles} =475 \\times \$0.14 = \$66.

STEP 5

Now that we have the cost for the miles, we can subtract this from Easton's budget to find out how much he has left for the daily rental cost.
Budgetrental=Budget−CostmilesBudget_{rental} = Budget - Cost_{miles}

STEP 6

Plug in the values for the budget and the cost for the miles to calculate the budget for the rental.
Budgetrental=$290−$66.5Budget_{rental} = \$290 - \$66.5

STEP 7

Calculate the budget for the rental.
Budgetrental=$290−$66.5=$223.5Budget_{rental} = \$290 - \$66.5 = \$223.5

STEP 8

Now that we have the budget for the rental, we can divide this by the daily rental cost to find the maximum number of days Easton can rent the car.
Number of days=Budgetrental/Daily rental costNumber\, of\, days = Budget_{rental} / Daily\, rental\, cost

STEP 9

Plug in the values for the budget for the rental and the daily rental cost to calculate the number of days.
Number of days=$223.5/$49.67Number\, of\, days = \$223.5 / \$49.67

STEP 10

Calculate the number of days.Since Easton cannot rent a car for a fraction of a day, we need to round down the result to the nearest whole number.
Number of days=⌊$223.5/$49.67⌋Number\, of\, days = \lfloor \$223.5 / \$49.67 \rfloor

STEP 11

Calculate the number of days.
Number of days=⌊$223.5/$49.67⌋=4Number\, of\, days = \lfloor \$223.5 / \$49.67 \rfloor =4Easton can rent the car for a maximum of4 days while staying within his budget.

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