Question

Danielle worked the following hours in the month of October. What was the percent increase from week 2 to week 4?

Answer 1

The percentage increase from week 2 to week 4 is 32%.

`32\text{\%}`

Step-by-step explanation:

We want to find the percentage increase in the number of hours worked from week 2 to week 4.

From the given table, the amount of hours worked in the two weeks are;

`\begin{gathered} \text{week 2 = 25} \\ \text{week 4 = 33} \end{gathered}`

The percentage can then be calculated as;

`\begin{gathered} \text{ \%}\Delta h=(\Delta h)/(h_0)*100\text{\%} \\ change_-in_-hours_-\Delta h=33-25=8 \\ Initial_-Amount_-h_0=25 \\ \text{ \%}\Delta h=(8)/(25)*100\text{\%} \\ \text{\%}\Delta h=32\text{\%} \end{gathered}`

Therefore, the percentage increase from week 2 to week 4 is 32%.

`32\text{\%}`