Robert is preparing a poster-board presentation. He wants to make a decorative pattern with 10 squares to fill part of the poster. The area of the poster board is 720 square inches. To find how much space Robert will have left for his presentation if he uses squares with 7-inch sides, evaluate 720 − 10s2

Question

when s = 7
.(1 point)
Responses

230 square inches
230 square inches

580 square inches
580 square inches

34,790 square inches
34,790 square inches

9,940 square inches

Answer 1

To find how much space Robert will have left after using the squares, we first need to evaluate the expression \( 720 - 10s^2 \) when \( s = 7 \).

1. First, calculate \( s^2 \): \[ s^2 = 7^2 = 49 \]

2. Next, calculate \( 10s^2 \): \[ 10s^2 = 10 \times 49 = 490 \]

3. Now, substitute \( 10s^2 \) back into the expression: \[ 720 - 10s^2 = 720 - 490 \]

4. Finally, perform the subtraction: \[ 720 - 490 = 230 \]

Thus, after using the squares, Robert will have 230 square inches left for his presentation.

The correct response is: 230 square inches.