Question

13. The owner of an apple orchard recorded the number of pounds of apples produced by each

below show the results.
tree of a certain type and the age of each tree of that type. The scatter plot and line of best fit
Apples Produced
114.300
Pounds of Apples
400
350
300
250
200
150
100
50
19. 150)
0
2 4 6 8 10 12 14 16
Age of Tree (years)
Select the two statements that correctly interpret key features of the line of best fit.
A The x-intercept of the line of best fit indicates that a tree will not produce any apples in
the first 4 years.
B. The slope of the line of best fit indicates that a tree will produce an additional 30 pounds
of apples each year once the tree begins producing apples.
c. The y-intercept of the line of best fit indicates that a tree will produce 300 pounds of
apples in the first year.
D The slope of the line of best fit indicates that the rate of increase in apple production of a
tree is 6 pounds per year
E The y-intercept of the line of best fit indicates that a tree will produce 4 pounds of apples
each year

Answer 1

Let's find the slope of best fit:

`\begin{gathered} (x1,y1)=(9,150) \\ (x2,y2)=(14,300) \\ m=(y2-y1)/(x2-x1)=(300-150)/(14-9)=(150)/(5)=30 \end{gathered}`

So, we can conclude that statement B is correct.

Also from the graph we can conclude that the line starts from x = 4 approximately, therefore the statement A is also correct.