Question

How do you write the ratio 424 kilometers in 8 hours as a unit rate?

Answer 1

Just divide:

Explanation:

`(424km)/(8h)=(53km)/(1h)=53km//h`

Answer 2

53 piles for 1 hour `->` 53 miles per hour

Explanation:

Making the unit rate based on time`->time=1`

`("Distance traveled")/("Time traveled in hours")->424/8`

`color(brown)("So we need to change the eight to one.")`

What we do to the bottom we do to the top to maintain the ratio. That is, for multiply or divide. Add or subtract 'messes that up' and needs special treatment.

`("Distance traveled")/("Time traveled")->424/8->(424-:8)/(8-:8) = 53/1`

`color(green)("So for 1 hour (unit rate) the distance traveled is 53 miles")`