Question

A bakery sells 7196 donuts in 2010. The bakery sells 9236 donuts in 2015. Write a linear model that represents the number y of donuts that the bakery sells x years after 2010

Answer 1

`y=408x+7196`

Explanation:

x is number of years after 2010

y is number of donuts

we are given

A bakery sells 7196 donuts in 2010

So, when x=0 , y=7196

Let's assume

`x_1=0,y_1=7196`

The bakery sells 9236 donuts in 2015

`x_2=5,y_1=9236`

now, we can find slope

`m=(y_2-y_1)/(x_2-x_1)`

we can plug values

`m=(9236-7196)/(5-0)`

`m=408`

now, we can use point slope form of line

`y-y_1=m(x-x_1)`

we can plug values

`y-7196=408(x-0)`

`y-7196=408(x-0)`

`y=408x+7196`