ACT Math · Linear equations and inequalities

A taxi charges a 3 flat fee plus 2 per mile. If a customer's budget is at most $25, what is the maximum number of miles they can travel?

A taxi charges a $3 flat fee plus $2 per mile. If a customer's budget is at most $25, what is the maximum number of miles they can travel?

Answer and explanation

Answer: J: 11

The cost is 3+2m3+2m for mm miles, and it must not exceed $25: 3+2m≤253+2m\le25. Subtract 33: 2m≤222m\le22. Divide by 22: m≤11m\le11, so the maximum is 1111 miles, choice J. Check: 3+2(11)=253+2(11)=25. Choice H (12.512.5) divides $25 by $2 without subtracting the flat fee first. Choice G (1414) and choice F (99) do not fit: 1414 miles would cost $31, and 99 miles would cost $21, which is not the maximum. The flat fee is paid once, before any miles are charged.

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