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 for miles, and it must not exceed $25: . Subtract : . Divide by : , so the maximum is miles, choice J. Check: . Choice H () divides $25 by $2 without subtracting the flat fee first. Choice G () and choice F () do not fit: miles would cost $31, and miles would cost $21, which is not the maximum. The flat fee is paid once, before any miles are charged.
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