use the model to predict the number of points you would expect a player to score if they attempted 49 shots…
use the model to predict the number of points you would expect a player to score if they attempted 49 shots. round your answer to the nearest whole number.
Answer
Explanation:
Step1: Find the equation of the line
Assume the line is in the form $y = mx + b$. We can pick two points on the line (e.g., when $x = 0,y=- 1$ and when $x = 20,y = 2$). First, find the slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{2-(-1)}{20 - 0}=\frac{3}{20}=0.15$. Using the point - slope form with the point $(0,-1)$ and $m = 0.15$, the equation of the line is $y=0.15x - 1$.
Step2: Substitute $x = 49$
Substitute $x = 49$ into the equation $y=0.15x - 1$. So $y=0.15\times49-1$. $y = 7.35-1=6.35$.
Step3: Round the result
Round $6.35$ to the nearest whole number. Since $0.35<0.5$, we round down.
Answer:
6