Question

a karate studio charges $35 for the first course and $22.50 for each course after that, even if the student leaves the course early. cena paid $170 for her son to take courses. how many courses did he take?

6 courses
7 courses
8 courses
10 courses

Explanation:

Set up the linear model

Using the Linear Equations and Arithmetic Sequences knowledge points
Let \(n\) be the total number of courses taken.
The cost of the first course is \(\$35\).
The cost of each of the remaining \(n - 1\) courses is \(\$22.50\).
The total cost equation is:

$$35 + 22.50(n - 1) = 170$$

Solve for the number of courses

Using the Linear Equations knowledge point

$$
LATEXBLOCK0
$$

Answer:

• (A) 6 courses
• (B) 7 courses (Correct answer)
• (C) 8 courses
• (D) 10 courses