Jada sells ground paprika
Her weekly profit (in dollars) as a function of the amount of paprika she sold that week (in kilograms) is
graphed
What is Jada's profit if she sells 60 kilograms of paprika?

Respuesta :

Answer:

If Jada sells 60 kilograms of paprika, her profit would be $200.

Step-by-step explanation:

Note: The missing graph is attached below.

From the graph,

Taking two points

  • (35, 0)
  • (60, 200)

[tex]\mathrm{Slope\:between\:two\:points}:\:\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(35,\:0\right),\:\left(x_2,\:y_2\right)=\left(60,\:200\right)[/tex]

[tex]m=\frac{200-0}{60-35}[/tex]

[tex]m=8[/tex]

The equation of line in slope-intercept form is

[tex]y=mx+b[/tex]

Putting (60, 200) and m = 8 in the slope-intercept form

[tex]200=\left(60\right)\left(8\right)+b[/tex]

[tex]\left(60\right)\left(8\right)+b=200[/tex]      

[tex]480+b=200[/tex]

[tex]\mathrm{Subtract\:}480\mathrm{\:from\:both\:sides}[/tex]

[tex]480+b-480=200-480[/tex]

[tex]b=-280[/tex]

Thus

[tex]y=mx+b[/tex]

[tex]y=8x+\left(-280\right)[/tex]

[tex]y=8x-280[/tex]

Putting x = 60

[tex]y=8\left(60\right)-280[/tex]

[tex]y=200[/tex]

Therefore, if Jada sells 60 kilograms of paprika, her profit would be $200.

Ver imagen SaniShahbaz

Answer:

the answer is 35 kilograms

Step-by-step explanation:

got it from khan academy