Question

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.

Answer 1

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

Answer 2

Answer: $39

Explanation:

Given: 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`

Now,
`d(c(x))=2(3x-4)+5=6x-8+5=6x-3`

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

`d(c(7))=6(7)-3=42-3=39`

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