Question

A bakery sells 3642 pastries in 2010. The bakery sells 8422 pastries in 2015. Write a linear model that represents the number y​ of pastries that the bakery sells x​ years after 2010

Answer 1

y = 936x + 3742

Explanation:

If it is a linear model, then we should have a slope and y-intercept with the equation representing the model as;

y = mx + c

where m is the slope and c is the y-intercept

Thus, we have for the slope;

(8422-3742)/(2015-21010) = 4680/5 = 936

So the equation will be;

y = 936x + c

To get c , we can use the years after 2010 which is 2015 in this case

8422 = 936(5) + c

c = 8422- 4680

c = 3742

So the linear model is;

y = 936x + 3742