In basketball, the number of points you score is given by 
\[3x + 2y + 1z\] where 
\[x\] is three-pointers, 
\[y\] is two-pointers, and 
\[z\] is free throws (one-pointers). What is the total number of points scored by a player who makes 
\[3\] three-pointers, 
\[5\] two-pointers, and 
\[6\] free throws?

The total number of points scored is given by the formula:

\[
3x + 2y + 1z
\]

where:
- \(x = 3\) (three-pointers),
- \(y = 5\) (two-pointers),
- \(z = 6\) (free throws).

Now, substitute the values into the equation:

\[
3(3) + 2(5) + 1(6)
\]

Calculate each term:

\[
3(3) = 9,\quad 2(5) = 10,\quad 1(6) = 6
\]

Now, sum them up:

\[
9 + 10 + 6 = 25
\]

Therefore, the total number of points scored is **25**.

Would you like any additional details or clarifications?

Here are 5 related questions:
1. How many points would the player score if they made 4 three-pointers, 7 two-pointers, and 2 free throws?
2. What happens to the total score if the number of two-pointers doubles?
3. How many points are scored if the player only makes free throws?
4. Can you create an equation for the total score if the player makes \(x\) three-pointers, \(y\) two-pointers, and no free throws?
5. What is the minimum number of shots the player needs to score at least 15 points?

**Tip:** When dealing with multiple terms, calculate each part separately before adding them up for clarity.

In basketball, the number of points you score is given by 3x + 2y + 1z where x is three-pointers, y is two-pointers, and z is free throws (one-pointers). What is the total number of points scored by a player who makes 3 three-pointers, 5 two-pointers, and 6 free throws?

Discover how to calculate the total points in basketball using the formula 3x + 2y + z. This example solves the problem of scoring 3 three-pointers, 5 two-pointers, and 6 free throws, demonstrating core arithmetic and algebraic concepts. Ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation