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].