Hostis sent a car company charges 45 dollars per day plus 40 cents per mile for a compact car, and gasoline costs 1.19 dollars per gallon. If the car gets 25 miles per gallon of gasoline, how many miles can the driver travel each day on a budget of 100 dollars
cost per mile is 1.19/25 for gas
cost per mile is .40 for rental
cost per day is 45 for rental
if m miles per day, and a budget of $100/day
(1.19/25 + .4)m + 45 = 100
.4476m + 45 = 100
m = 122.88
To determine how many miles the driver can travel each day on a budget of 100 dollars, we need to consider the charges for the car rental and the cost of gasoline.
Let's break down the costs step by step:
1. Calculate the car rental charges:
- The car company charges 45 dollars per day, so the car rental cost for one day is 45 dollars.
2. Calculate the maximum amount that can be spent on gasoline:
- Total budget - Car rental cost = Maximum amount for gasoline
- 100 dollars - 45 dollars = 55 dollars
3. Calculate the maximum number of gallons of gasoline that can be purchased:
- Maximum amount for gasoline ÷ Cost per gallon of gasoline = Maximum number of gallons
- 55 dollars ÷ 1.19 dollars per gallon = 46.22 gallons (approximately)
4. Calculate the maximum number of miles that can be driven:
- Maximum number of gallons × Miles per gallon = Maximum number of miles
- 46.22 gallons × 25 miles per gallon = 1,155.5 miles (approximately)
Therefore, the driver can travel approximately 1,155.5 miles each day on a budget of 100 dollars.