x y
1
–
10
2
–
20
3
–
40
4
–
80
5
–
160
Write a linear function (y=mx+b) or an exponential function (y=a(b)x) that models the data.
y=
This data appears to be an example of exponential growth, as the value of y is doubling each time the value of x increases by 1.
In this case, we can represent this exponential growth with the equation y = 10 * 2^x.
Therefore, y = 10(2)^x is the exponential function that models the data.