Question

If you rent a car for one day and drive it for 100 miles, the cost is $40.00. If you drive it 220 miles, the cost is $46.00.
Use the linear function to find out how much you will pay to rent the car for one day if you drive it 300 miles.

Answer 1

If you divide $6.00 by 120, you come up with 5 cents per mile. So the slope of the line (m) would be 0.05, or 1/20.

We also know that it costs $40.00 at 100 miles, so when x=100, y=40. If you multiply 100 by 0.05 you get 5, which means the rate goes up $5.00 for every 100 miles. So if you take your original y=40 ($40.00 for 100 miles) and subtract 5, that means y=35 for 0 miles, and that gives you your zero-intercept (b).

So your equation would be y = 1/20x + 35

Now, if x = 300 miles, then

y= 1/20*300 + 35

y = 15 + 35

y = 50, therefore it would cost $50.00 to drive the rental car 300 miles.

Answer 2

well from the infromation 120 miles sees an increase of $6

so each mile costs

6/120 = 5cents

so 100 miles at 5 cents per mile is $5

therefore the fixed cost in the car rental is $35


then the function is C =0.05M + 35


now substitiute M = 300 to find the cost

Answer 3

So the answer is 50.00?