A restaurant wanted to determine the average rate that its sweet tea is purchased. An employee gathered data on the amount of sweet tea remaining in the machine, y.
for several hours after the machine was filled, x. The following scatter plot and line of fit was created to display the data.
Sweet Tea Machine
Amount of Sweet Tea
(in fluid ounces)
45
40
35
30
25
20
15
10
5
0 1 2
3
4
5
6
7 8
Time (in hours)
Find the y-intercept of the line of fit and explain its meaning in the context of the data.
O The y-intercept is -5.8. The machine starts with 5.8 ounces of sweet tea.
O The y-intercept is -5.8. The machine loses about 5.8 fluid ounces of sweet tea each hour.
O The y-intercept is 42. The machine loses about 42 fluid ounces of sweet tea each hour.
O The y-intercept is 42. The machine starts with 42 ounces of sweet tea.