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Ellen is buying soda and juice for a party and wants to spend no more than $44\$44. Soda costs $2\$2 per bottle, and juice costs $1\$1 per bottle.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of bottles of soda\newliney=y = the number of bottles of juice\newlineChoices:\newline(A) 2+x+1+y442 + x + 1 + y \leq 44\newline(B) 2+x+1+y442 + x + 1 + y \geq 44\newline(C) 2x+y442x + y \leq 44\newline(D) 2x+y442x + y \geq 44

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Q. Ellen is buying soda and juice for a party and wants to spend no more than $44\$44. Soda costs $2\$2 per bottle, and juice costs $1\$1 per bottle.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of bottles of soda\newliney=y = the number of bottles of juice\newlineChoices:\newline(A) 2+x+1+y442 + x + 1 + y \leq 44\newline(B) 2+x+1+y442 + x + 1 + y \geq 44\newline(C) 2x+y442x + y \leq 44\newline(D) 2x+y442x + y \geq 44
  1. Identify Cost of Soda: Ellen is buying soda and juice for a party and wants to spend no more than $44\$44. We need to find the inequality that represents this situation using the given variables.
  2. Calculate Cost of Juice: First, let's determine the cost of soda. If soda costs $2\$2 per bottle and Ellen buys xx bottles of soda, then the total cost for soda is $2\$2 times the number of bottles of soda, which is $2x\$2x.
  3. Find Total Cost: Next, we calculate the cost of juice. If juice costs $1\$1 per bottle and Ellen buys yy bottles of juice, then the total cost for juice is $1\$1 times the number of bottles of juice, which is $1y\$1y or simply yy, since 11 times any number is the number itself.
  4. Set Spending Limit: Now, we add the total cost of soda and juice to get the total amount Ellen will spend. The total cost is the sum of the cost of soda and the cost of juice, which is $2x+y\$2x + y.
  5. Formulate Inequality: Ellen wants to spend no more than \$\(44\) on soda and juice. This means that the total cost, \$\(2\)x + y, must be less than or equal to \$\(44\). Therefore, the inequality that represents this situation is \$\(2\)x + y \leq \$\(44\).

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