Question

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?

Explanation:

Step1: Identify values of x, y, z

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

Step2: Substitute into the formula

The formula for points is \(3x + 2y+z\). Substitute x = 3, y = 5, z = 6:
\(3\times3 + 2\times5+6\)

Step3: Calculate each term

\(3\times3 = 9\), \(2\times5 = 10\)

Step4: Sum the terms

\(9 + 10+6=25\)

Answer:

25