is the rate of 1.2 in. of rain/5 hours equivalent to 2.1 in. of rain/8 hours?

Answer 1

This is a proportion problem.

1.2 in - - 2.1 in
_____ = _____
5 hrs - - - 8 hrs

(ignore the hyphens)

You cross multiply
1.2 x 8 is 9.6
2.1 x 5 is 10.5

Since 9.6 does not equal 10.5, then no, it is not equivalent.

Answer 2

(1.2)/5 = (12/50) = (6/25) = .24
(2.1)/8 = (21/80) = .2625

so 2.1 inches of rain in 8 hours is a little higher than 1.2 inches of rain in 5 hours

(12/50) = x/8
50x = 96
x = (96/50)
x = (48/25)
x = 1.92

so for them to be equivalent, you need to get 1.92 inches of rain in 8 hours

Answer 3

Both Jo and gindimdn got it right. Just compute 1.2/5 and 2.1/8 and see if they are equal. Since, they aren't then, the two are not equal or equivalent.

Answer 4

in the first case the rate is :

1.2in/5h= 0.24in/h

in the second case:

2.1in/8h=0.2625in/h

so in the second case the rate is slightly bigger

Answer 5

no