Question

Penny worked 8 hour and earned $70. What is her hourly rate?

Answer 1

Penny's hourly rate of pay is $8.75/hour.

Explanation:

Her hourly rate of pay is determined by dividing her total pay by the number of hours she worked.

Using `r` as her rate of pay, `r=("total pay")/("total hours")`

`r=($70.00)/("8 hours")="$8.75/hour"`

Answer 2

`$8.75`

Explanation:

Hourly rate means: how much is earned in 1 hour which is `("earnings")/("1 hour")`

This would normally be seen as dollars per hour `->("dollars")/("hours")=$/h`

We can use `$/h` as a ratio to find our solution:

`$/h->($70)/(8" hours") larr" given initial condition"`

So as we need 1 hour we need to change the 8 into 1.

To maintain proportionality in ratio what we do to the bottom we do to the top (for multiply and divide).

`$/h->($70)/(8" hours")-=(70-:8)/(8-:8) = 8.75/1`

So for 1 hour (the unit) Penny earned $8.75 (unit rate)