Sandra sets the cruise control in her car to 69 miles per hour when she goes on road trips. Which equation can be used to find how many hours, h, it will take her to drive m miles at her constant speed?

Accepted Solution

Answer: Β [tex]h=\frac{m}{69}[/tex]Step-by-step explanation: For this exercise is necessary to remember the following formula: [tex]V=\frac{d}{t}[/tex] Where "V" is the speed, "d" is the distance and "t" is the time. In this case you must solve for the time, then: [tex]tV=d\\\\t=\frac{d}{V}[/tex] Based on the information provided in the exercise, you can identify that: [tex]V=69\\\\t=h\\\\d=m[/tex] Therefore, knowing this, you can make the substitution into the formula [tex]t=\frac{d}{V}[/tex]. Through this procedure you get that the equation that can be used to find the amount of hours "h" that it will take Sandra to drive "m" miles at her constant speed, is: [tex]h=\frac{m}{69}[/tex]