To find out how much area will be left for Robert's presentation after he uses the squares, we can first calculate the area of one square and then the total area of the 10 squares.
- The area of one square with a side length of \( s = 7 \) inches is given by the formula for the area of a square:
\[ \text{Area of one square} = s^2 = 7^2 = 49 \text{ square inches} \]
- Now, we find the area of 10 squares:
\[ \text{Area of 10 squares} = 10 \times 49 = 490 \text{ square inches} \]
- Next, we will calculate the remaining area on the poster after using the 10 squares. We start with the total area of the poster, which is 750 square inches:
\[ \text{Remaining area} = 750 - \text{Area of 10 squares} = 750 - 490 \]
- Performing the subtraction:
\[ \text{Remaining area} = 750 - 490 = 260 \text{ square inches} \]
So, the area left for Robert's presentation after using the squares is 260 square inches. However, since none of the answer choices provided matches this calculation accurately, maybe we should re-evaluate the given function expression:
The problem states to evaluate \( 750 - 10s^2 \) when \( s = 7 \).
Replacing \( s \) with \( 7 \):
\[ 10s^2 = 10 \times 7^2 = 10 \times 49 = 490 \]
Now compute:
\[ 750 - 490 = 260 \text{ square inches} \]
As we found above, the answer is still 260 square inches, which does not match any given options. Please check if the options provided were correct or if there are any errors in the problem statement.
3 answers