a car rents for $30 per day plus 23 cents per mile . You are on a daily budget of $76. What milieage will allow you to stay whithin your budget?

solve for x

23x + 3000 = 7600

The equation for the daily cost is

rate (in USD) = 0.23 x miles + 30

so if you have 76 USD to spend then

76 = 0.23 x miles + 30

solve for miles

To find the mileage that will allow you to stay within your budget, we can set up an equation using the given information.

Let's assume the mileage you will drive in a day is represented by 'x' miles.

The cost of renting the car for a day is $30, and the cost per mile is 23 cents (or $0.23). So, the total cost for renting the car for a day and driving 'x' miles is:

Total cost = $30 + ($0.23 * x)

We have been given a daily budget of $76, so we can set up the equation:

$76 >= $30 + ($0.23 * x)

To solve for 'x', we need to isolate 'x' on one side of the inequality. Let's start by subtracting $30 from both sides:

$76 - $30 >= $0.23 * x

$46 >= $0.23 * x

Next, we divide both sides by $0.23 to isolate 'x':

$46 / $0.23 >= x

200 >= x

Therefore, to stay within your budget of $76, you can drive up to 200 miles per day.