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.

A. y=10x−2

B. y=−10x+78

C. y=x+34

D. y=10x+2

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the equation of the linear function that models the relationship shown in the table, we need to first determine the slope (m) and the y-intercept (b) of the function.

Using the two points given in the table (4, 38) and (6, 58), we can calculate the slope:

m = (58 - 38) / (6 - 4)
m = 20 / 2
m = 10

Next, we can use the slope and one of the points to find the y-intercept:

y = mx + b
38 = 10(4) + b
38 = 40 + b
b = -2

So, the equation of the linear function that models the relationship shown in the table is y = 10x - 2, which is option A.

Therefore, the correct answer is:

A. y = 10x - 2