Question

Coach Natalie is a softball coach. She has

private pitching lessons with Kasey.
Kasey's mom pays Coach Natalie SIl per
hour plus a $10 tip. How many hours was
the lesson?
A) 4
B) -4
D) 3
C) -3

Answer 1

To find the number of hours in the lesson, we can use the equation y = 25 + 15x. By setting Sil equal to Kasey's mom's total payment and solving the equation, we can find x, which represents the number of hours.

Step-by-step explanation:

The equation in Example 12.4 that expresses the total amount of money earned for each tutoring session can be used to solve this problem. In the equation y = 25 + 15x, the y-intercept of 25 represents the one-time fee charged at the start of the tutoring session. The slope of 15 represents the amount earned per hour of tutoring. We can use this equation to find the number of hours in the lesson:

y = 25 + 15x

Sil = 25 + 15*x

We know that Kasey's mom paid Sil per hour plus a $10 tip. So, we can set Sil equal to Kasey's mom's total payment: Sil = Sil + 10.

Substituting this into our equation:

Sil + 10 = 25 + 15x

Subtracting 10 from both sides gives us:

Sil = 25 + 15x - 10

Sil = 15 + 15x

Now we can solve the equation to find x, the number of hours in the lesson:

x = (Sil - 15) / 15