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.
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.