Question

Use the table to answer the question.

x y
11 58
20 103
Write the equation of the linear function that models the relationship shown in the table. Enter your answer in y=mx+b form.

Answer 1

To find the equation of the linear function that models the relationship shown in the table, we need to find the values of m and b in the equation y = mx + b.

First, let's find the slope (m) of the line. We can do this by using the formula:

m = (change in y) / (change in x)

Using the values from the table, we find:

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

Next, let's find the y-intercept (b) of the line. This is the value of y when x = 0.

Using the values from the table, we find:

b = y - mx
b = 58 - 5(11)
b = 58 - 55
b = 3

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

y = 5x + 3