Question

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each T-shirt printed with your design costs an additional $8.

A. write a linear model that represents the Total cost of purchasing your team's T-shirt with your design as a function of the number of T-shirts.

B. your team has 35 members. If a T-shirt is purshased for every member. what would be the cost?​

Answer 1

Part A)

`C(t)=25+8t`

Part B)

`C(35)=\$305`

Explanation:

We will let t represent the total number of t-shirts printed.

We are charged an initial fee of $25. So, for our linear model, our constant is 25. And each t-shirt printed costs an additional $8. So, for t t-shirts, it will cost an additional 8t dollars.

Part A)

So, from the above information, we can write the following function:

`C(t)=25+8t`

Where C(t) is the total cost for t shirts.

The 25 represents our initial fee and the 8t represents the cost for t t-shirts.

Part B)

So, if we have a team of 35 members, we will need 35 t-shirts.

Then the total cost will be given by:

`\begin{aligned}C(35)&=25+8(35)\\&=25+280\\&=\$305\end{aligned}`

So, it will cost a total of $305.