Peter is folding brochures for his dad‘s company after one hour he has 330 brochures left fold after four hours he only has 90 brochures left of old right equations slope intercept form

Respuesta :

Answer:

The required slope intercept form is [tex]y=-80x+410[/tex].

Step-by-step explanation:

Consider the provided information.

It is given that after one hour he has 330 brochures left fold

It means if x=1 then y=330

So the first coordinate is (1, 330)

After four hours he only has 90 brochures left of old.

It means if x=4 then y=90

So the first coordinate is (4, 90)

Use the formula to find the slop of the equation  [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]  where [tex](x_1,y_1)=(1, 330) \text{ and }(x_2,y_2)=(4, 90)[/tex]

[tex]m=\frac{90-330}{4-1}[/tex]

[tex]m=\frac{-240}{3}=-80[/tex]

So, the slop is -80. Now put the value of m and [tex](x,y)=(1,330)[/tex] into the slop intercept form [tex]y=mx+b[/tex].

[tex]330=(-80)(1)+b[/tex]

[tex]330+80=b[/tex]

[tex]b= 410[/tex]

Now put the value of m and b into the slop intercept form.

[tex]y=-80x+410[/tex]

Hence, the required slope intercept form is [tex]y=-80x+410[/tex].