
Answer:
Yes, they are equivalent
Step-by-step explanation:
Tell whether the rates are equivalent.
Rate formula = Speed(miles)/Time(hour)
1)7 1/2 miles for every 3/4 hour
Hence
Rate = 7 1/2 miles ÷ 3/4 hour
= 15/2 ÷ 3/4
= 15/2 × 4/3
= 5 × 2
= 10 miles per hour
2) 1/2 mile for every 3 minutes
Time = 60 minutes = 1 hour
3 minutes = x
x = 3/60
x = 0.05 hour
Hence
Rate = 1/2 mile ÷ 0.05 hour
= 0.5 mile ÷ 0.05 hour
= 10 mile per hour
Therefore, both rates are equivalent