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.
A. 15x + 30 = 75; 3 hours
B. 30x + 15 = 75; 3 hours
C. 15x + 30 = 75; 2 hours
D. 30x + 15 = 75; 2 hours
The correct equation that represents the given situation is: 30x + 15 = 75 (where x represents the number of hours of Sophia's lesson)
To find the number of hours of Sophia's lesson, we can solve for x in the equation:
30x + 15 = 75
Subtract 15 from both sides:
30x = 60
Divide both sides by 30:
x = 2
Therefore, the number of hours of Sophia's lesson is 2 hours. The correct answer is D.