Question

RatesWrite each of the following rates as a unit rate.64 hours in 8 days42 ounces for 7 glasses

Answer 1

So we need to write these rates as unit rates. For example, in the first one we have hours in days so we should end up with something like:

`x\frac{\text{hours}}{\text{days}}`

Where hours per days is the unit and x is a number. What we simply need to do here is take the number of hours and divide them by the number of days:

`\frac{64\text{ hours}}{8\text{ days}}=(64)/(8)\cdot\frac{\text{hours}}{\text{days}}=8\frac{\text{hours}}{\text{day}}`

And that's the first unit rate, 8 hours per day.

For the second is the same process:

`\frac{42\text{ ounces}}{7\text{ glasses}}=(42)/(7)\cdot\frac{\text{ounces}}{\text{glasses}}=6\frac{\text{ounces}}{\text{glass}}`

And this second unit rate is 6 ounces per glass.