Question

A scatter plot showed a positive correlation for 11 bowlers. As the number of strikes, s, a bowler made in a game increased, the number of points, p, the bowler scores also increased. The equation for the line of best fit for the data is p = 25s + 40. Estimate the number of strikes made by a bowler with 140 points. A) 4B) 6C) 25D) 40

Answer 1

The model variables the relationship between the strikes (s) and the number of points scored (p)

$p=25s+40$

To determine the number of strikes made, so that 140 points where scored, you have to replace the model with p=140 and solve for s

$140=25s+40$

The first step is to pass "40" to the others side of the equal sing, by performing the inverse operation "-40" to both sides of the expression

$\begin{gathered} 140-40=25s+40-40 \\ 100=25s \end{gathered}$

Then you have to divide both sides of the expression by 25 to determine the value of s

$\begin{gathered} \frac{100}{25}=\frac{25s}{25} \\ 4=s \end{gathered}$

The bowler made s=4 strikes, the correct choice is A.