You are supposed to come up with an equation to solve this problem. I have figured out how to do it, just not what the equation is supposed to look like. Anyways, here is the word problem.

The taxi fare in Gotham City is $2.40 for the first .5 miles, and additional mileage is charged at the rate of $0.20 for each additional .1 mile. If you were to go 2 miles, how much money would it cost? Write and solve an equation to determine the price. (I was able to figure out that the price was $5.40)

I just can't seem to figure out how to write an equation for this problem. If you are able to, please help give me some insight on how to write the equation. I would really appreciate it!

1 answer

For x tenths of a mile, the cost

c = 2.40 + 0.20(x-5)
2 miles is 20 tenths, so

c(20) = 2.40 + 0.20(15) = 2.40 + 3.00 = 5.40

Much less hassle than trying to work with x miles.