Question

Write the equation of the linear functioning the models the relationship shown in the table enter your answer in y = mx + b form x is 11 and 20 why is 58 and 103

Answer 1

To find the equation of the linear function that models the relationship shown in the table, we first need to calculate the slope (m) and the y-intercept (b) using the given data points (11, 58) and (20, 103).

First, calculate the slope:
m = (y2 - y1) / (x2 - x1)
m = (103 - 58) / (20 - 11)
m = 45 / 9
m = 5

Now that we have the slope, we can calculate the y-intercept using one of the points:
y = mx + b
58 = 5(11) + b
58 = 55 + b
b = 3

Therefore, the equation of the linear function in the form y = mx + b is:
y = 5x + 3