Answer:
Step-by-step explanation:
First, let's find how much of the tub was used within the time.
We know that the tub was 2/3 full was Jenna started.
And it was only 1/6 full when Jenna ended.
Therefore, to find the amount used, we can subtract 1/6 from 2/3. So:
Make a common denominator. Change 2/3 to 4/6 by multiplying both layers by 2. So:
Subtract and reduce:
Therefore, 1/2 of the tub was used after 6 1/2 hours.
To find the average hourly change, we will put the amount used <em>over</em> the amount of hours. 6 and 1/2 hours is the same as 13/2 hours. Therefore, the hourly change will be:
Remember when dividing fractions, we:
1) Flip the divisor (the second number).
2) Change the division sign to a multiplication sign.
3) Multiply.
So:
Multiply straight across and reduce:
However, since we are <em>using up</em> the tub, our rate will be negative. Therefore:
Therefore, the average hourly rate was -1/13 tub per hour.
This means that after each hour, 1/13 of the tub will be used up.
Edit: Corrected Wrong Answer