Question

unit 3 recovery points
for this problem (#7), you may complete only the parts that you missed points on in
order to receive recovery points on this question on the unit 5 assessment.

1. use the scatter plot and line of best fit below to

answer the following questions.
line of best fit: ( y = -3x + 45 )

d. what is the slope for the line of best fit?
what does the slope mean?

e. what is the y-intercept? what does the y intercept mean?

f. use the line of best fit to predict how many dogs remain if there are 10
adoption events per year, and be sure to show your work. then, describe
what this point represents in the situation.

dogs at jolly paws animal rescue
scatter plot with x-axis: number of adoption events per year, y-axis: number of dogs remaining

Explanation:

Step1: Identify the formula

The line of best fit is given by \( y = -3x + 45 \), where \( x \) represents the number of adoption events per year and \( y \) represents the number of dogs remaining.

Step2: Substitute \( x = 10 \) into the formula

We substitute \( x = 10 \) into the equation \( y = -3x + 45 \).

$$
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$$

Step3: Interpret the result

The value of \( y = 15 \) when \( x = 10 \) means that if there are 10 adoption events per year, the predicted number of dogs remaining at Jolly Paws Animal Rescue is 15. This point \((10, 15)\) on the line of best fit represents the expected number of dogs left after 10 adoption events, based on the linear relationship modeled by the line of best fit.

Answer:

The predicted number of dogs remaining when there are 10 adoption events per year is 15. This point \((10, 15)\) represents that with 10 adoption events annually, we expect 15 dogs to be left at the rescue.