A rideshare service charges a base fee of 4 plus 2.50 per mile. A taxi charges a base fee of 10 plus 1.50 per mile. At how many miles do…

Write the fare for $m$ miles for each service: rideshare is $4 + 2.50m$ and taxi is $10 + 1.50m$. Set them equal: $4 + 2.5m = 10 + 1.5m$. Subtract $1.5m$ and 4 from both sides: $m = 6$, choice D. Check: rideshare costs $4 + 15 = \$19$ and the taxi costs $10 + 9 = \$19$. Choice A (4) is the rideshare's base fee. Choice B (10) is the taxi's base fee. Choice C (14) is the sum of the base fees, $4 + 10$. The answer is the number of miles at which the totals match, which is $\frac{6}{1} = 6$ miles.