A car rents for $40 per day plus 20 cents per mile. You are on a daily budget nof $92. What mileage will allow you to stay within your budget?
40 + .20x < 92
Solve for x.
A car rents for $40 per day plus 20¢ per mile. If x represents the number of miles Jorge drives per day, 40+0.20x represents the cost of the rental. If Jorge has $92 to spend for the daily car rental, what is the maximum number of miles he can travel per day?
To determine the mileage that will allow you to stay within your budget, we need to find the maximum number of miles you can drive while still staying within your $92 daily budget.
Let x be the mileage.
The cost for renting the car is given by $40 per day.
The mileage cost is given by 20 cents per mile, which can be written as 0.20x dollars.
The total cost is the sum of the rental cost and the mileage cost:
Total cost = Rental cost + Mileage cost
= $40 + 0.20x
We want to find the maximum mileage that, when multiplied by 0.20 and added to $40, will not exceed $92.
Hence, we can write the inequality:
$40 + 0.20x ≤ $92
To solve for x, we will first subtract $40 from both sides of the inequality:
0.20x ≤ $92 - $40
0.20x ≤ $52
Next, divide both sides of the inequality by 0.20 to solve for x:
x ≤ $52 ÷ 0.20
x ≤ $260
Therefore, the maximum mileage that will allow you to stay within your budget is 260 miles.
To determine the mileage that will allow you to stay within your daily budget, you need to calculate the maximum number of miles you can drive while keeping your expenses below $92.
Let's break down the cost:
- The fixed cost or base rate is $40 per day.
- In addition to the base rate, you also have to pay 20 cents for each mile you drive.
Since you want to stay within your daily budget of $92, we subtract the base rate from your budget:
$92 - $40 = $52
Now, we can calculate how many miles you can drive with the remaining budget of $52. Since each mile costs you 20 cents, divide the remaining budget by the cost per mile:
$52 ÷ $0.20 = 260 miles
Therefore, you can drive up to 260 miles while staying within your daily budget of $92.