Write the equation of the linear function that models the relationship shown in the table. Enter your answer in y=mx+b form.

Question

X: Y:
11 58
20 103

Answer 1

First, calculate the slope (m) using the two points provided:

m = (103 - 58) / (20 - 11)
m = 45 / 9
m = 5

Next, use one of the points to solve for the y-intercept (b). Let's use (11, 58):

58 = 5(11) + b
58 = 55 + b
b = 3

So, the equation of the linear function that models the relationship shown in the table is:

y = 5x + 3