Question

Tell whether the rates are equivalent. 7 1/2 miles for every 3/4 hour 1/2 mile for every 3 minutes

Answer 1

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