A car rents for $42 per day pluc 20cents per mile. you are on a daily budget of $98. What milage will allow you to stay within your budget?

98=42+.2m solve for m

To determine the mileage that will allow you to stay within your $98 budget, you need to calculate the maximum number of miles you can drive for the given amount.

Let's assume the number of miles you can drive is represented by "m".

Given that the daily rental cost is $42, the cost for mileage is 20 cents per mile. So, for "m" miles, the mileage cost would be 0.20 * m.

To stay within your budget, the total cost of renting the car, including mileage, must not exceed $98. Thus, we can set up the equation:

$42 + 0.20 * m ≤ $98

Simplifying the equation, we have:
0.20 * m ≤ $98 - $42
0.20 * m ≤ $56

Now, let's solve for "m" by dividing both sides of the equation by 0.20:
m ≤ $56 / 0.20
m ≤ 280

Therefore, you can stay within your budget if you drive a maximum of 280 miles.

To determine the mileage that will allow you to stay within your budget, we need to consider the rental cost per day and the additional cost per mile.

Let's break down the cost calculation:

1. Rental cost per day: $42
2. Additional cost per mile: $0.20

Let's assume "m" is the mileage you can drive within your budget, and "x" is the number of days you plan to rent the car.

So, the total cost can be calculated using the formula:

Total cost = (Rental cost per day * number of days) + (Additional cost per mile * mileage)

In this case, the total cost must not exceed the daily budget of $98, so the equation becomes:

98 = (42 * x) + (0.20 * m)

To solve for "m," we rearrange the equation:

0.20 * m = 98 - (42 * x)

Now let's plug in some values. Since the question does not specify the number of rental days, we will calculate the maximum mileage based on a single day.

Let us assume x = 1 (indicating one day of rental):

0.20 * m = 98 - (42 * 1)

Simplifying further, we have:

0.20 * m = 98 - 42

0.20 * m = 56

To isolate "m," divide both sides of the equation by 0.20:

m = 56 / 0.20

m = 280

Therefore, you can stay within your budget by driving up to 280 miles.