Question

use the table to answer the question.

x / y
4 / 38
6 / 58

Write the equation of the linear function that models the relationship shown in the table.
(1 point)

A. y = -10x + 78
B. y = x + 34
C. y = 10x + 2
D. y = 10x - 2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine the equation of the linear function from the table, we need to find the slope (m) and the y-intercept (b).

First, let's find the slope:
m = (change in y) / (change in x)
m = (58 - 38) / (6 - 4)
m = 20 / 2
m = 10

Now, we can use the slope (m) and one of the points to find the y-intercept (b). Let's use the point (4, 38):
38 = 10(4) + b
38 = 40 + b
b = -2

Therefore, the equation of the linear function is:
y = 10x - 2

The correct answer is:
D. y = 10x - 2