A taxi company charges riders a fixed charge of $2.50 plus $1.50 per mile. How many miles must a rider go to have an average cost per mile of $2.00?
Let x = miles needed.
2.50 + (1.50*x miles)/x = 2.00
Solve for x. Something like 5 miles I think but that that out.
Let x = miles needed.
2.50 + (1.50*x miles)/x = 2.00
Solve for x.
please solve
To find out how many miles a rider must go to have an average cost per mile of $2.00, we need to set up an equation based on the given information.
Let's assume the number of miles the rider must go is 'x'.
According to the information given:
The fixed charge is $2.50.
The cost per mile is $1.50.
So, the total cost can be represented as:
Total Cost = Fixed Charge + (Cost per mile * Number of miles)
In this case, the total cost per mile should be equal to or less than $2.00. So, we can set up the equation:
(2.50 + 1.50x) / x ≤ 2.00
To solve this equation, we can simplify it:
2.50 + 1.50x ≤ 2.00x
Now, we can isolate 'x' on one side of the equation:
2.50 ≤ 2.00x - 1.50x
2.50 ≤ 0.50x
Next, divide both sides of the inequality by 0.50:
2.50 / 0.50 ≤ x
5 ≤ x
Therefore, the rider must go at least 5 miles to have an average cost per mile of $2.00 or less.