A friend is training for a marathon. She can run 4 miles in 28 minutes. Assume that she runs at a constant rate.
Write an equation to represent \( y \), the distance your friend can run in \( x \) minutes.
Please show all work.
Answer (2)
x min u t es y mi l es = 28 min u t es 4 mi l es ∣ cross m u lt i pl y 28 y = 4 x ∣ d i v i d e b o t h s i d es b y 28 y = 28 4 x ⇒ y = 7 1 x
Your friend's running speed is 7 1 miles per minute, leading to the equation y = 7 1 x , where y is the distance in miles and x is the time in minutes. This shows how far she can run based on the time spent running. Thus, if she runs for 14 minutes, she covers 2 miles.
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