12. the function ( y = -4x + 48 ) models the average number of t - shirts sold at a store on october first…

12. the function ( y = -4x + 48 ) models the average number of t - shirts sold at a store on october first. the function ( y = 3x + 6 ) models the average number of long sleeve shirts sold after october first, where ( x ) is the number of days after october 1. how many days is the average number of t - shirts sold and the average number of long sleeve shirts the same?

12. the function ( y = -4x + 48 ) models the average number of t - shirts sold at a store on october first. the function ( y = 3x + 6 ) models the average number of long sleeve shirts sold after october first, where ( x ) is the number of days after october 1. how many days is the average number of t - shirts sold and the average number of long sleeve shirts the same?

Answer

Explanation:

Step1: Set the two functions equal

To find when the average number of t - shirts sold and long - sleeve shirts sold are the same, we set (y=-4x + 48) equal to (y = 3x+6). So we have the equation (-4x + 48=3x + 6).

Step2: Solve for x

First, add (4x) to both sides of the equation: (-4x+4x + 48=3x+4x + 6) (48 = 7x+6) Then, subtract 6 from both sides: (48 - 6=7x+6 - 6) (42=7x) Next, divide both sides by 7: (x=\frac{42}{7}=6)

Answer:

6