The table follows a linear pattern
The equation of the total cost is C=3p
What are linear patterns?
Linear patterns are equations that have constant rates or slopes
How to calculate the equation
From the table, we have the following ordered pair
(p,C) = (0.8,2.40) and (1.2, 3.60)
We start by calculating the slope using:
[tex]m = \frac{C_2 -C_1}{p_2 -p_1}[/tex]
So, we have:
[tex]m = \frac{3.60 - 2.40}{1.2 - 0.8}[/tex]
[tex]m = \frac{1.20}{0.4}[/tex]
[tex]m = 3[/tex]
The equation is then calculated using:
[tex]C=m(p - p_1) + C_1[/tex]
So, we have:
[tex]C=3(p - 0.8) + 2.4[/tex]
Open the bracket
[tex]C=3p - 2.4 + 2.4[/tex]
[tex]C=3p[/tex]
Hence, the equation of the total cost is C=3p
Read more about linear equations at:
https://brainly.com/question/14323743
