Question

Ms. Gartland bought x number of shirts forthe new members of her chorus. The cost forx number of shirts, including $3.99 shipping, was$77.49. Each shirt cost $12.25. There was nosales tax on this purchase. Which equation couldbe used to find x?A. 3.99(x + 12.25) = 77.49B. 3.99x + 12.25 = 77.49C. 12.25(x + 3.99) = 77.49D. 12.25x + 3.99 = 77.49

Answer 1

`\text{ D. 12.25x+3.99=77.49}`

Explanation:

This situation can be represented as a linear equation since it has an initial fee (shipping) and a constant rate of change since each shirt costs $12.25.

Linear equations are given as:

`\begin{gathered} y=mx+b \\ \text{where,} \\ m=\text{slope or constant rate of change} \\ b=\text{initial amount} \end{gathered}`

Therefore, the equation that could be used to find x is:

`77.49=12.25x+3.99`