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The volleyball team at Clarksville High School has saved up $450\$450, and the team plans to spend no more than that amount on balls and nets. A volleyball costs $6\$6 and a net costs $16\$16.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of volleyballs\newliney=y = the number of nets\newlineChoices:\newline(A) 16+x+6+y≤45016 + x + 6 + y \leq 450\newline(B) 16x+6y≤45016x + 6y \leq 450\newline(C) 6+x+16+y≤4506 + x + 16 + y \leq 450\newline(D) 6x+16y≤4506x + 16y \leq 450

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Q. The volleyball team at Clarksville High School has saved up $450\$450, and the team plans to spend no more than that amount on balls and nets. A volleyball costs $6\$6 and a net costs $16\$16.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of volleyballs\newliney=y = the number of nets\newlineChoices:\newline(A) 16+x+6+y≤45016 + x + 6 + y \leq 450\newline(B) 16x+6y≤45016x + 6y \leq 450\newline(C) 6+x+16+y≤4506 + x + 16 + y \leq 450\newline(D) 6x+16y≤4506x + 16y \leq 450
  1. Define Cost per Item: Define the cost per item. The volleyball team plans to spend their money on volleyballs and nets. A volleyball costs $6\$6, which is represented by the variable xx for the number of volleyballs. A net costs $16\$16, which is represented by the variable yy for the number of nets.
  2. Write Inequality: Write the inequality. The total cost of volleyballs is 66 times the number of volleyballs 6x6x, and the total cost of nets is 1616 times the number of nets 16y16y. The team has $450\$450 to spend, so the sum of the cost of volleyballs and nets must be less than or equal to $450\$450. The inequality that represents this situation is 6x+16y≤4506x + 16y \leq 450.
  3. Check Answer Choices: Check the answer choices. We need to find the inequality that matches the one we have written in Step 22. The correct inequality is (D) 6x+16y≤4506x + 16y \leq 450.

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