Use the table to answer the question XY 11,58, 20,103 write the equation of the linear function that models the relationship shown in the table. Enter your answer in the Y=MX + B form.
To find the equation of the linear function that models the relationship shown in the table, we need to determine the slope (M) and the y-intercept (B).
From the table, we can see that as x increases by 9 (from 11 to 20), y increases by 45 (from 58 to 103).
Therefore, the slope (M) can be determined by taking the change in y divided by the change in x:
M = (103 - 58) / (20 - 11)
M = 45 / 9
M = 5
To find the y-intercept (B), we can substitute the values of x and y from one of the points in the table into the general equation of a line, y = MX + B, and solve for B.
Using the point (11, 58), we have:
58 = 5(11) + B
58 = 55 + B
B = 58 - 55
B = 3
Therefore, the equation of the linear function that models the relationship shown in the table is:
y = 5x + 3