Based on the given table, it appears that a linear function would best fit the data since the values of y are changing with a consistent rate.
To find the linear function, we need to find the slope (m) and the y-intercept (b).
First, let's find the slope using the first two points (-2, 6.5) and (-1, 2.6):
m = (y2 - y1) / (x2 - x1)
m = (2.6 - 6.5) / (-1 - (-2))
m = (2.6 - 6.5) / (-1 + 2)
m = (-3.9) / (1)
m = -3.9
Now, let's find the y-intercept using one of the points and the slope:
y = mx + b
2.6 = -3.9(-1) + b
2.6 = 3.9 + b
b = 2.6 - 3.9
b = -1.3
Therefore, the linear function that models the data is:
y = -3.9x - 1.3
Look at this table:
x y
–
2 6.5
–
1 2.6
0
–
1.3
1
–
5.2
2
–
9.1
Write a linear function (y=mx+b) or an exponential function (y=a(b)x) that models the data.
y=
1 answer