Look at this table:

Question

x y
4
–
30
5
–
35
6
–
40
7
–
45
8
–
50
Write a linear function (y=mx+b) or an exponential function (y=a(b)x) that models the data.
y=

Answer 1

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

Using the points (4, 30) and (8, 50), we can calculate the slope as:

m = (y₂ - y₁) / (x₂ - x₁)
m = (50 - 30) / (8 - 4)
m = 20 / 4
m = 5

Now we can use the point-slope form of a linear equation to find the y-intercept. Let's use the point (4, 30):

y - y₁ = m(x - x₁)
y - 30 = 5(x - 4)
y - 30 = 5x - 20
y = 5x + 10

So the linear function that models the data is y = 5x + 10.