Answer:
15n
Step-by-step explanation:
Given
The above table
Required
The formula of the table
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{n_2 - n_1}[/tex]
Where:
n = Number of Lawns
y = Earnings
[tex](n_1,y_1) = (2,30)[/tex]
[tex](n_2,y_2) = (5,75)[/tex]
So, we have:
[tex]m = \frac{75 - 30}{5 - 2}[/tex]
[tex]m = \frac{45}{3}[/tex]
[tex]m = 15[/tex]
The equation is then calculated as:
[tex]y = m(n- n_1) + y_1[/tex]
This gives:
[tex]y = 15(n- 2) + 30[/tex]
[tex]y = 15n- 30 + 30[/tex]
[tex]y = 15n[/tex]
Hence:
B is correct
