Using the equation, the profit that bagel shop will earn in 12months will be = $9,625.
How to determine the equation for the line of best fit that models the relationship?
The scatter points are given in the graph and we have to determine the equation that best fits the data .
the points in the scatter plot is
(3,4) and (8,6)
The slope of the equation
y = mx +c is given by
m =(y2 - y1)/(x2-x1)
m = (9-4)/(11-3)
m = 5/8 = 0.625
The equation is
y= 0.625x +2.125
for 12 months
y = 9.625 thousand = 9625 thousand in 12 months
Therefore the bagel shop will earn $9625 in 12 months.
Complete question:
The scatter plot below shows the amount of profit earned per month by a bagel shop over a period of 11 months.
Write an equation for the line of best fit that models the relationship between profit in thousands, p, and time in months,m. Then, use your equation to predict the profit the bagel shop will earn in month 12. Round slope and -y intercept to the nearest tenth.