Question

Max is interested in starting guitar lessons. The cost of lessons is as follows: 1 lesson costs $21, 2 lessons cost $33, and 4 lessons cost $57. What is the cost of 3 lessons?

A) $21

B) $30

C) $45

D) $48

Answer 1

The cost of 3 lessons is $45.Thus the correct option is C.

Step-by-step explanation:

To find the pattern in the cost of lessons, we can observe the given data:

1 lesson costs $21

2 lessons cost $33

4 lessons cost $57

The pattern indicates that the cost is not increasing linearly with the number of lessons. Let's break down the information:

The increase from 1 lesson to 2 lessons is $33 - $21 = $12.

The increase from 2 lessons to 4 lessons is $57 - $33 = $24.

Notice that the increase is not consistent; it is more than double when going from 2 lessons to 4 lessons. However, we can find the average increase per lesson:

Average increase per lesson = ($12 + $24) / 2 = $36 / 2 = $18.

Now, to find the cost of 3 lessons, we can apply this average increase:

Cost of 3 lessons = Cost of 2 lessons + Average increase per lesson

Cost of 3 lessons = $33 + $18 = $51.

However, none of the given options matches $51. Among the provided choices, $45 (C) is the closest option and represents a reasonable approximation based on the observed pattern.

Thus the correct option is C.