Question

For a series of concrete structures, a civil engineer records the number of cracks that develop in each one and the number of fastening bolts used in that structure. The scatterplot shows her results. Based on her line of best fit, which of the following statements is true?

Answer 1

The correct answer is C

Answer 2

For each bolt used, the number of cracks decreased by an average of $\frac{1}{2}$.

Scatterplot:

'A scatter plot is a type of plot or mathematical diagram that uses Cartesian coordinates to display values for typically two variables for a set of data.'

According to the given problem,

The line in the scatterplot has two points, (2,8) , (8,5)

Let (2,8) be ($x_{1},y_{1}$) and (8,5) be ($x_{2},y_{2}$)

Finding slope:

$\frac{y_{2} - y_{1} }{x_{2}-x_{1} }$ = $\frac{5 - 8}{8-2}$ = $\frac{-1}{2}$

Hence, we can conclude that the number of cracks decreases by an average of half. We can conclude that its decreasing because of the negative slope.

Learn more about Scatterplot and here:

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