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Whitney is purchasing buffalo wings and hot dogs for a Super Bowl party at her house, and she wants to spend under $70\$70. A package of hot dogs costs $2\$2, while a package of buffalo wings costs $4\$4.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of packages of hot dogs\newliney=y = the number of packages of buffalo wings\newlineChoices:\newline(A) 2x + 4y > 70\newline(B) 4x + 2y < 70\newline(C) 2x + 4y < 70\newline(D) 4x + 2y > 70

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Q. Whitney is purchasing buffalo wings and hot dogs for a Super Bowl party at her house, and she wants to spend under $70\$70. A package of hot dogs costs $2\$2, while a package of buffalo wings costs $4\$4.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of packages of hot dogs\newliney=y = the number of packages of buffalo wings\newlineChoices:\newline(A) 2x+4y>702x + 4y > 70\newline(B) 4x+2y<704x + 2y < 70\newline(C) 2x+4y<702x + 4y < 70\newline(D) 4x+2y>704x + 2y > 70
  1. Identify Costs and Variables: Identify the cost of each item and the variables associated with them.\newlineCost of one package of hot dogs: $2\$2 (given)\newlineNumber of packages of hot dogs: xx (variable)\newlineCost of one package of buffalo wings: $4\$4 (given)\newlineNumber of packages of buffalo wings: yy (variable)
  2. Write Total Cost Expressions: Write an expression for the total cost of the hot dogs and buffalo wings.\newlineTotal cost of hot dogs = Cost per package of hot dogs ×\times Number of packages of hot dogs\newline=2×x= 2 \times x\newline=2x= 2x\newlineTotal cost of buffalo wings = Cost per package of buffalo wings ×\times Number of packages of buffalo wings\newline=4×y= 4 \times y\newline=4y= 4y
  3. Combine Total Cost Expressions: Combine the expressions for the total cost of hot dogs and buffalo wings to get the total cost.\newlineTotal cost = Total cost of hot dogs + Total cost of buffalo wings\newline= 2x+4y2x + 4y
  4. Set Total Cost Inequality: Whitney wants to spend under $70\$70, so the total cost must be less than $70\$70. This gives us the inequality: 2x + 4y < 70

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