Question

a bakery sells 6350 muffins in 2010. the bakery sells 8310 in 2015. write a linear model that represents the number y of muffins that the bakery sells x years after 2010

Answer 1

Let's suppose that we have the points (0,6350) for the muffins in 2010 and (5,8310) for the muffins in 2015. Then we can calculate the rate of change for our linear model:

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1)=(8310-6350)/(5-0)=(1960)/(5)=392 \\ \Rightarrow m=392 \end{gathered}`

now that we have that the rate of change is m = 392, we can use the first point to find the equation for the linear model:

`\begin{gathered} y-6350=392(x-0)=392x \\ \Rightarrow y=392x+6350 \end{gathered}`

thus, the linear model is y = 392x+6350