Sophia takes guitar lessons at home every Sunday. Her instructor charges $15 to cover home visit costs, and $30 per hour of training. One Sunday, Sophia's mother pays the instructor $75 for the guitar lessons. Select the equation that represents the given situation and find the number of hours of Sophia's lesson.

1 answer

Let's represent the number of hours of training as x.

The total cost, including the home visit fee, can be represented by the equation:
$15 + $30x = $75

Now, we solve for x:
$30x = $60
x = 2

Therefore, Sophia's lesson lasted for 2 hours.

The equation that represents the situation is:
$15 + $30x = $75.