Question

Patricia paid $584 for 8 nights at a hotel. What is the unit rate?

Answer 1

Unit rate per night is `$73`.

Explanation:

Patricia paid `$584` for `8` nights

Hence, rate per night is `$584/8=$73`.

Answer 2

The cost for 1 night (unit rate) is $73

Explanation:

For unit rate we need `("cost")/("1 night")`

But we have `("cost")/("count of nights") ->($584)/8`

Se we need to change the 8 nights into 1 night

Divide top and bottom by 8 as `8-:8=1`

`("cost")/("count of nights") ->($584)/8-=($584-:8)/(8-:8) = ($73)/("1 night")`

So the cost for 1 night (unit rate) is $73

Unit rate means 'for one of' whatever you are counting. In this case it is nights.