look at this table
x
4, 5, 6, 7, 8
y
26, 32, 38, 44, 50
write a linear function (y=mx+b) or an exponential function (y=a(b)^) that models the data.
To find the function that models the data, first we need to find the slope (m) and y-intercept (b) for the linear function y = mx + b.
Using the points (4, 26) and (8, 50):
m = (50 - 26) / (8 - 4) = 24 / 4 = 6
Using point (4, 26):
26 = 6(4) + b
26 = 24 + b
b = 2
Therefore, the linear function that models the data is:
y = 6x + 2