Respuesta :
Answer:
[tex]p=3w+80[/tex]
Step-by-step explanation:
[tex]p\rightarrow[/tex] represent price of a share.
[tex]w\rightarrow[/tex] represent weeks.
The linear equation in slope intercept form can be represented as:
[tex]p=mw+b[/tex]
where [tex]m[/tex] is slope of line or rate of change of price of share and [tex]b[/tex] is the y-intercept or initial value of share price.
We can construct two points using the data given.
Price was $ 74 two weeks ago. [tex](-2,74)[/tex]
Price was $ 59 seven weeks ago. [tex](-7,59)[/tex]
Using the points we can find slope [tex]m[/tex] of line.
[tex]m=\frac{p_2-p_1}{w_2-w_1}[/tex]
[tex]m=\frac{59-74}{-7-(-2)}[/tex]
[tex]m=\frac{-15}{-5}[/tex]
[tex]m=3[/tex]
Using point slope form of linear equation to write the equation using a given point. [tex]y-y_1=m(x-x_1)[/tex]
Using point [tex](-2,74)[/tex].
[tex]p-74=3(w-(-2))[/tex]
⇒ [tex]p-74=3(w+2)[/tex]
⇒ [tex]p-74=3w+6[/tex]
Adding 74 to both sides:
⇒ [tex]p-74+74=3w+6+74[/tex]
⇒ [tex]p=3w+80[/tex]
The linear equation to find the price "p" of a share of XYZ Corporation stock "w" weeks from now is:
[tex]p=3w+80[/tex]
