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 when s = 7 .(1 point)

Question

Responses

580 square inches
580 square inches

34,790 square inches
34,790 square inches

230 square inches
230 square inches

9,940 square inches

Answer 1

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

First, we find \( s^2 \):

\[ s^2 = 7^2 = 49 \]

Now we calculate \( 10s^2 \):

\[ 10s^2 = 10 \times 49 = 490 \]

Next, we substitute into the expression:

\[ 720 - 10s^2 = 720 - 490 = 230 \]

Therefore, the space Robert will have left for his presentation is:

\[ \text{230 square inches} \]

So the correct answer is:

230 square inches.