An event planner wants to order some ice sculptures as decorations for a company party. Small sculptures cost $150 and large sculptures cost $370, and the maximum budget for this portion of the party is $2,200.Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.x= the number of small ice sculpturesy= the number of large ice sculpturesChoices:(A) 150x+370y≥2,200(B) 150+x+370+y≤2,200(C) 150+x+370+y≥2,200(D) 150x+370y≤2,200
Q. An event planner wants to order some ice sculptures as decorations for a company party. Small sculptures cost $150 and large sculptures cost $370, and the maximum budget for this portion of the party is $2,200.Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.x= the number of small ice sculpturesy= the number of large ice sculpturesChoices:(A) 150x+370y≥2,200(B) 150+x+370+y≤2,200(C) 150+x+370+y≥2,200(D) 150x+370y≤2,200
Determine Costs: Determine the cost of each type of ice sculpture and the variables associated with them.Cost of each small ice sculpture: $150Number of small ice sculptures: xCost of each large ice sculpture: $370Number of large ice sculptures: y
Calculate Small Ice: Calculate the total cost for the small ice sculptures.Total cost for small ice sculptures = Cost of each small ice sculpture × Number of small ice sculptures= $(150)×x= 150x
Calculate Large Ice: Calculate the total cost for the large ice sculptures.Total cost for large ice sculptures = Cost of each large ice sculpture × Number of large ice sculptures= $(370)×y= 370y
Combine Total Costs: Combine the total costs for both small and large ice sculptures to represent the total expenditure.Total expenditure = Total cost for small ice sculptures + Total cost for large ice sculptures= 150x+370y
Determine Budget Constraint: Determine the budget constraint for the total expenditure.Maximum budget for ice sculptures: $2,200The total expenditure must be less than or equal to the maximum budget.Inequality: 150x+370y≤2,200
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