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(a)

Part A
Devin pays $30 to be a member of the Fox Lake Gym. Each boxing class costs him $2. Jared is not a member of the Gym, and it costs him $5 for the same class. Write an equation to model the situation.


A
30+5c=2c

B
30=2c+5c

C
2+30c=5c

D
30+2c=5c

1 answer

To understand the situation and find the correct equation, let's define the variables:

  • Let \( c \) be the number of boxing classes attended.

Now, we can analyze the costs for both Devin and Jared:

  • Devin, who is a member of the gym, pays a flat fee of $30 plus $2 per boxing class. Thus, his total cost can be represented as: \[ \text{Cost for Devin} = 30 + 2c \]

  • Jared, who is not a member of the gym, pays $5 for each boxing class. Thus, his total cost can be represented as: \[ \text{Cost for Jared} = 5c \]

To find when their costs are equal (if we want to compare their costs), we can set Devin's cost equal to Jared's cost: \[ 30 + 2c = 5c \]

Now let's compare this with each option provided:

  • A: \( 30 + 5c = 2c \) (incorrect)
  • B: \( 30 = 2c + 5c \) (incorrect)
  • C: \( 2 + 30c = 5c \) (incorrect)
  • D: \( 30 + 2c = 5c \) (correct)

The correct equation that models the situation is:

D: \( 30 + 2c = 5c \)