The function c(x) = 3x − 4 determines how many cupcakes need to be purchased for a birthday party, where x is the number of kids at the party. The party planner uses d(c(x)) to find the amount of money to bring for the cupcake purchase. The function d(x) = 2x + 5. Solve for how much money to bring when there are 7 kids at the party.

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the answer of d(c(x))=39. hope it will help you

Answer: $39

Step-by-step explanation:

Given: The function [tex]c(x)=3x-4[/tex] determines how many cupcakes need to be purchased for a birthday party, where x is the number of kids at the party. The party planner uses d(c(x)) to find the amount of money to bring for the cupcake purchase. The function [tex]d(x) = 2x + 5[/tex]

Now, [tex]d(c(x))=2(3x-4)+5=6x-8+5=6x-3[/tex]

To find the amount of money to bring when there are 7 kids at the party, put x in d(c(x)), we get

[tex]d(c(7))=6(7)-3=42-3=39[/tex]

Hence, the amount of money to bring when there are 7 kids at the party = $39

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