Question

the school baseball team wants to have each players name imprinted on the players jacket. the cost is $65 plus $6.75 for each name. write a function to represent the cost c(n) for n names. what will be the cost for 15 jackets? 1. c(n)=71.75n; c(n) = $1,076.26 2. c(n)=65 + 6.75n; c(15) = $166.25 3. c(n)=65n + 6.75; c(15) = $981.75

Explanation:

Step1: Determine the cost - function structure

The fixed cost is $65 and the variable cost is $6.75 per name. So the cost function $c(n)$ for $n$ names is $c(n)=65 + 6.75n$.

Step2: Calculate the cost for 15 jackets

Substitute $n = 15$ into the function $c(n)$. So $c(15)=65+6.75\times15$. First, calculate $6.75\times15 = 101.25$. Then $c(15)=65 + 101.25=166.25$.

Answer:

B. $c(n)=65 + 6.75n; c(15)=\$166.25$