Question

Which ratios have a unit rate greater than 1? Choose ALL that apply

Answer 1

-Ratio 2

-Ratio 4

-Ratio 5

Also in attachment below

Explanation:

So, before we solve each ratio, we first need to understand what a unit rate is.

A unit rate is rato of one specific value. For example, the ratios in your problem look lik this:

`ratio 1 : ratio2`

A unit rate looks like this:

`(ratio1)/(ratio2)`

Now lets go over each ratio:

Ratio 1:

`(9)/(5)miles : 3 hours`

So, to find the unite rate, we divide
`(9)/(5)` by 3:

`((9)/(5) )/(3) = (3)/(5)`

`(3)/(5)` is less than 1, so the first ratio is not correct.

Now that we have went through the first one step by step, I will do the other ones without explanation(If you want a explanation on them feel free to ask :3)

Ratio 2:

`7 miles : (3)/(4) hours`

=

`(7)/((3)/(4) ) = (28)/(3) = 9 (1)/(3)`

This has a unit rate greater than 1, and is correct.

Ratio 3:

`2 (1)/(2)miles : 3hours`

=

`(2(1)/(2) )/(3) = (5)/(6)`

This has a unit rate less than 1, and is not correct

Ratio 4:

`(9)/(8)miles : (5)/(6) hours`

=

`((9)/(8) )/((5)/(6) ) = (54)/(40)`

This has a unit rate greater than 1, and is correct

Ratio 5:

`4miles : 3(1)/(3) hours`

=

`(4)/(3(1)/(3) ) = (12)/(10)`

This has a unit rate greater than 1, and is correct

Ratio 6:

`(1)/(3) mile : 2(3)/(8) hours`

=

`((1)/(3) )/(2(3)/(8) ) = ((8)/(3) )/(19) = (8)/(57)`

This has a unit rate less than 1, and is not correct.

Hope this helps! :3

Answer 2

7 miles:3/4 hour

9/8 miles:5/6 hours

4 miles:3 1/3 hours

Explanation:

To find the unit ratio divide each left side by the number on right side. if it's greater than 1 then unit rate is greater than 1