To find out how many more hours Richard needs to work for the week, we can set up the equation based on the information provided.
Let \( h \) be the number of hours Richard needs to work in order to reach a total of 30 hours for the week.
Richard has already worked 21.15 hours. Therefore, the equation representing the total hours worked is:
\[ 21.15 + h = 30 \]
Now, we can solve for \( h \):
- Subtract 21.15 from both sides of the equation:
\[ h = 30 - 21.15 \]
- Calculate the right side:
\[ h = 8.85 \]
So, Richard needs to work 8.85 hours more to reach a total of 30 hours for the week.