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)
Responses

y=10x−2
y equals 10 x minus 2

y=10x+2
y equals 10 x plus 2

y=x+34
y equals x plus 34

y=−10x+78
y equals negative 10 x plus 78
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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 calculate the slope (m) and the y-intercept (b).

First, let's find the slope:
m = (y2 - y1) / (x2 - x1)
m = (58 - 38) / (6 - 4)
m = 20 / 2
m = 10

Now, let's find the y-intercept by substituting one of the points into the equation y = mx + b:
38 = 10(4) + b
38 = 40 + b
b = 38 - 40
b = -2

Therefore, the equation of the linear function is y = 10x - 2. So, the correct response is:

y=10x-2
y equals 10 x minus 2