To determine the average cost per game at the bowling alley when James bowls 4 games, you need to substitute the value of [tex]\( n = 4 \)[/tex] into the given expression:
[tex]\[
\frac{3n + 7}{8}
\][/tex]
Step-by-step solution:
1. Substitute [tex]\( n = 4 \)[/tex] into the expression:
[tex]\[
\frac{3(4) + 7}{8}
\][/tex]
2. Calculate the numerator:
[tex]\[
3(4) + 7 = 12 + 7 = 19
\][/tex]
3. Divide the numerator by the denominator:
[tex]\[
\frac{19}{8} = 2.375
\][/tex]
Thus, the average cost per game when James bowls 4 games is [tex]\( \$2.375 \)[/tex].
Looking at the given choices:
- A. [tex]$15.00
- B. $[/tex]3.50
- C. [tex]$2.75
- D. $[/tex]4.75
None of these options match our calculated value exactly. Since the provided answers do not include [tex]$2.375, you might want to check the problem statement again or consult with the instructor. However, based on the computation:
The correct numerical answer, in precise form, is:
\[
\$[/tex]2.375
\]
