Look at this table:
x y
1
–
4
2
–
9
3
–
14
4
–
19
5
–
24
Write a linear function (y=mx+b) or an exponential function (y=a(b)x) that models the data.
y=
To determine whether the given data can be modeled by a linear or exponential function, we need to look for a pattern in the change of y values corresponding to the change in x values.
Looking at the data, we can see that for each value of x, the corresponding y value is obtained by subtracting 5 from x and then multiplying by 5.
Therefore, the equation that models the data would be a linear function, y = 5x - 5.