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)

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
9,940 square inches
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1 answer

To determine how much space Robert will have left for his presentation after using 10 squares with 7-inch sides, we need to calculate the area of the squares and then subtract that from the total area of the poster board.

  1. Calculate the area of one square:

\[ s^2 = 7^2 = 49 \text{ square inches} \]

  1. Calculate the area of 10 squares:

\[ 10s^2 = 10 \times 49 = 490 \text{ square inches} \]

  1. Subtract the area of the 10 squares from the total area of the poster board:

\[ 720 - 490 = 230 \text{ square inches} \]

Therefore, the space Robert will have left for his presentation is 230 square inches.

The correct response is:

230 square inches.