Question:
The cost of a yoga class is [tex]\[tex]$ 15[/tex] per session. In addition, a mat fee of [tex]\$[/tex] 2[/tex] is charged per session. Which of the following represents the total cost, in dollars, of the class and mat for [tex]y[/tex] sessions?

A. [tex]15y + 2[/tex]
B. [tex]2y + 15[/tex]
C. [tex]17y[/tex]
D. [tex]30y[/tex]



Answer :

To determine the total cost of attending [tex]\( y \)[/tex] yoga sessions, we need to consider the cost structure.

1. Cost of a yoga class per session: Each yoga session costs [tex]\( \$15 \)[/tex].
2. Mat fee per session: A mat fee of [tex]\( \$2 \)[/tex] is charged per session.

For each session, the total cost is the sum of the cost of the class and the mat fee:
[tex]\[ \text{Total cost per session} = 15 + 2 = 17 \][/tex]

To find the total cost for [tex]\( y \)[/tex] sessions, we multiply the total cost per session by the number of sessions [tex]\( y \)[/tex]:
[tex]\[ \text{Total cost for} \, y \, \text{sessions} = 17 \times y \][/tex]

Thus, the expression representing the total cost for [tex]\( y \)[/tex] sessions is:
[tex]\[ 17 y \][/tex]

Therefore, the correct answer is:
[tex]\[ \boxed{17 y} \][/tex]

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