Solve the Problem $x$ Represent Your Cycling Rate in Miles Per Hour

Multiple Choice

Solve the problem.
-You drive 123 miles along a scenic highway and then take a 25 -mile bike ride. Your driving rate is 4 times your cycling rate. Suppose you have no more than a total of 7 hours for driving and cycling. Let $x$ represent your cycling rate in miles per hour. Write a rational inequality that can be used to determine the possible values of x. Do not simplify and do not solve the inequality.

A) $\frac { 123 } { 4 x } + \frac { 25 } { x } \leq 7$
B) $\frac { 123 } { x } + \frac { 25 } { 4 x } \leq 7$
C) $\frac { 4 x } { 123 } + \frac { x } { 25 } \leq 7$
D) $\frac { 123 } { 4 x } + \frac { 25 } { x } \geq 7$