Question,too long, down below...

Question

Brady's Books is a retail store.The store's average daily profits y are given by the equation y=2X+3 where X is the number of hours available for customer purchases. Brady's adds an online shopping option. Write an equation in slope-intercept form to show a new profit line with the same profit rate containing the point ( 0,12).

Answer 1

Hi!

 

The original profit equation is  Y = 2X + 3, where X is the number of hours the store is open and Y is the profit.  

 

This equation is used before having the online shopping option.

 

Now we want to add an online option fee, called O.  Our equation looks like  Y = 2X + 3 + O

 

We know that the point (0, 12) fits this new online option line.  So our new equation looks like  

 

12 = 2*0 + 3 + O

 

12 = 0 + 3 + O

 

12 = 3 + O

 

9 = O   So the online option adds 9 dollars to the profit equation.

 

So the updated profit equation is now    Y = 2X + 3 + 9 = 2X + 12

 

 

Ms. Gayle