Answer:
Please check the explanatio.
Step-by-step explanation:
Solving Part b)
We know that the slope-intercept form of the equation line is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
Given the equation
[tex]4x+2y=16[/tex]
Re-writing the equation in the slope-intercept form
[tex]4x+2y=16[/tex]
[tex]y=-2x+8[/tex]
Here, m=-2 and b=8
Thus, the equation in the slope-intercept form will be:
[tex]y=-2x+8[/tex]
Solving Part c)
As you sold two pounds of cheddar cheese.
i.e. y=2
substituting y=2 in the slope-intercept form of the line equation
[tex]y=-2x+8[/tex]
[tex]2=-2x+8[/tex]
Subtract 8 from both sides
[tex]-2x+8-8=2-8[/tex]
[tex]-2x=-6[/tex]
Divide both sides by -2
[tex]\frac{-2x}{-2}=\frac{-6}{-2}[/tex]
[tex]x=3[/tex]
You sold 3 pounds of swiss cheese.
Solving Part d)
[tex]y=-2x+8[/tex]
putting x=2.5 in the equation
[tex]y=-2x+8[/tex]
[tex]2=-2\left(2.5\right)+8[/tex]
[tex]2=3[/tex]
The sides are not equal
FALSE
Thus, x=2.5 does not make any sense in the context of the problem.
