basketball games
the equation for the line of best fit is ( y=\frac{4}{9}x+\frac{2}{3} ). according to the equation, which of these statements is true?
if the player takes 22 shots, he would probably make about 10 baskets.
if the player takes 24 shots, he would probably make about 14 baskets.

Question

Accepted Answer

# Explanation:
## Step1: Substitute $x = 22$ into the equation $y=\frac{4}{9}x+\frac{2}{3}$
$$
\begin{align*}
y&=\frac{4}{9}\times22+\frac{2}{3}\
&=\frac{88}{9}+\frac{6}{9}\
&=\frac{88 + 6}{9}\
&=\frac{94}{9}\
&\approx10.44
\end{align*}
$$
## Step2: Substitute $x = 24$ into the equation $y=\frac{4}{9}x+\frac{2}{3}$
$$
\begin{align*}
y&=\frac{4}{9}\times24+\frac{2}{3}\
&=\frac{96}{9}+\frac{6}{9}\
&=\frac{96+ 6}{9}\
&=\frac{102}{9}\
&=\frac{34}{3}\
&\approx11.33
\end{align*}
$$

# Answer:
If the player takes 22 shots, he would probably make about 10 baskets.

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Question

Explanation:

Step1: Substitute \(x = 22\) into the equation \(y=\frac{4}{9}x+\frac{2}{3}\)

Step2: Substitute \(x = 24\) into the equation \(y=\frac{4}{9}x+\frac{2}{3}\)

Answer: