A bakery sells 6350 muffins in 2010. The bakery sells 8310 muffins in 2015. Write a linear model that represents the number $y$ of muffins that the bakery sells $x$ years after 2010. The linear model is $y=$ .

y = 392x + 6350

Step-by-step explanation:

Here, we calculate the average rate of change in the number of muffins sold between the two years

Mathematically that will be the difference in number of muffins divided by the number of years

We have this as;

(8310-6350)/(2015-2010)

= 392

an average of 392 muffins were sold in a year

The general form of the equation of a straight line is;

y = mx + c

we have m as 392

so;

y = 392x + c

To get c, we make a substitution

2015 is 5 years after 2010, so x will be 5 and y will still be 8310

so;

8310 = 392(5) + c

c = 8310 - 2960

c = 6350

So the equation is;

y = 392x + 6350