Question

Look at this table:

x y
–
3 7
–
2 2
–
1
–
3
0
–
8
1
–
13
Write a linear function (y=mx+b) or an exponential function (y=a(b)x) that models the data.
y=

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find a linear function that models the data, we need to find the slope (m) and y-intercept (b).

Using the points (-3, 7) and (1, -13), we can calculate the slope:
m = (y2 - y1) / (x2 - x1)
m = (-13 - 7) / (1 - (-3))
m = -20 / 4
m = -5

Now, we can use the slope-intercept form of a linear equation:
y = mx + b

Using one of the points, let's say (-3, 7), we can substitute the values to find the y-intercept (b):
7 = -5(-3) + b
7 = 15 + b
b = 7 - 15
b = -8

Therefore, the linear function that models the data is:
y = -5x - 8