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Which situation is best represented by the following equation?

40w+12.50=492.50

(1 point)
Responses

Nikayah paid $492.50 for ballet classes. She paid a $40 registration fee and $12.50 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes.

Nikayah paid $12.50 for ballet classes. She paid a $492.50 registration fee and $40 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes

Nikayah paid $492.50 for ballet classes. She paid a $12.50 registration fee and $40 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes.

Nikayah paid $40 for ballet classes. She paid a $12.50 registration fee and $492.50 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes

1 answer

The equation \(40w + 12.50 = 492.50\) represents the situation where Nikayah paid $492.50 for ballet classes, consisting of a $40 registration fee and $12.50 for each week she was enrolled in the classes.

To solve for \(w\) (the number of weeks), we would rearrange the equation:

  1. Subtract the registration fee from the total cost: \[ 40w = 492.50 - 12.50 \ 40w = 480 \]

  2. Divide by 40: \[ w = \frac{480}{40} \ w = 12 \]

So, the correct response is:

Nikayah paid $492.50 for ballet classes. She paid a $40 registration fee and $12.50 for each week she was enrolled in the classes. Solve for w to find the number of weeks Nikayah was enrolled in ballet classes.