what is the unit rate in this proportional relationship? 60 miles/1 hour 120 miles/ 2 hours 1 mile/ 1 hour
what is the unit rate in this proportional relationship? 60 miles/1 hour 120 miles/ 2 hours 1 mile/ 1 hour
Answer
Explanation:
Step1: Recall the definition of unit rate
Unit rate is a rate with denominator 1.
Step2: Simplify the given rates
For (120) miles/(2) hours, divide numerator and denominator by 2: (\frac{120\div2}{2\div2}=\frac{60}{1}) miles/hour. For (1) mile/(1) hour, it is already a unit rate but we check proportionality. In a proportional relationship (y = kx) (here (y) is miles, (x) is hours, (k) is unit rate). If (x = 2,y=120), then (k=\frac{y}{x}=\frac{120}{2}=60).
Answer:
(60) miles/(1) hour