Question

Dorothy needs to build a wall. She has to start the wall with one postand then every 6.75 feet put another post. The wall will be290.25 feet long. The posts cost $8.03 each. How much will shespend on posts in all?

Answer 1

She will spend $345.29 on posts.

Explanation:

This situation can be represented by a linear equation since it is defined by a constant rate of change and an initial value. Linear functions are given by:

`\begin{gathered} y=kx \\ \text{where,} \\ k=rate\text{ of change} \end{gathered}`

Therefore, if 6.75 feet is the rate of the posts and it has to start with one post.

It posts cost $8.03 each and the wall will be 290.25 feet long.

Let x be the number of posts needed.

`\begin{gathered} y=8.03x \\ \text{ To find the number of posts needed:} \\ (290.25)/(6.75)=43 \end{gathered}`

Now, substitute x=43 into the function to determine the total cost of the posts:

`\begin{gathered} y=8.03(43) \\ y=\text{ \$345.29} \end{gathered}`