Final answer:
The slope that best represents the amount earned per water bottle sold is $8 per water bottle, showing a positive relationship between the number of water bottles sold and the total earnings.
Step-by-step explanation:
The basketball team during a fundraiser earned a total of $1024 by selling 128 water bottles. To find the amount earned per water bottle sold, we can calculate the slope of the earnings as a function of the number of water bottles sold. This is done by dividing the total earnings by the number of water bottles.
The graph that best represents the amount earned per water bottle sold is a line graph.
To find the slope, we divide the total money earned by the number of water bottles sold: $1024 / 128 = $8.
Slope = Total earnings / Number of water bottles
Slope = $1024 / 128
Slope = $8 per water bottle
Therefore, the graph that represents this relationship should have a slope of $8 per water bottle, showing a consistent increase in total earnings for each additional water bottle sold. Note that the algebraic sign for the slope here is positive because as the number of water bottles sold increases, the total earnings also increase.
Therefore, the slope is $8 per water bottle.