SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the important parameters
[tex]\begin{gathered} Constant=11\text{ dollars} \\ let\text{ x be the number of games} \\ Variable=1\text{ dollar}\times x-numbers\text{ of games played} \\ \therefore Variable=\text{ \$}1x\text{ } \end{gathered}[/tex]
STEP 2: Get the total charges for the family arcade center
[tex]\begin{gathered} Total\text{ cost}=Constant+Variable \\ \text{Total Cost}=\text{ \$}11+\text{ \$}1x \end{gathered}[/tex]
STEP 3: Write the formula for calculating average expense for playing x numbers of games
[tex]Average=\frac{Cost\text{ of playing games}}{number\text{ of games played}}[/tex][tex]\begin{gathered} Cost\text{ of playing x-games}=\text{ \$}11+\text{ \$}1x \\ \text{number of games played}=x \end{gathered}[/tex]
By substitution,
Hence, the average expense for a player per game played, in terms of x is given by:
[tex]C(x)=\frac{\text{ \$}11+\text{ \$}1x}{x}[/tex]
OPTION C
