Respuesta :
a) The linear equation to find the price p of a share of XYZ Corporation stock w weeks from now is p = 3w + b
b) Price of a share of stock five weeks ago is $ 65
Solution:
The equation of line (in slope intercept form) is given as:
y = mx + b
Where "m" is the slope and "b" is the y - intercept
The equation of a line for price p of a share of XYZ Corporation stock w weeks from now is:
p = mw + b
where y = the price of the stock, w = weeks, m is the slope and b is the y-intercept and "p" is the price of share
Given that price of a share of stock in XYZ Corporation was $74 two weeks ago. Seven weeks ago, the price was $59 a share
So we have two points (-2, 74) and (-7, 59)
The slope "m" can be found as:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\text{ here } x_1 = -2 ; y_1 = 74 ; x_2 = -7 ; y_2 = 59[/tex]
[tex]\begin{aligned}m &=\frac{59-74}{-7-(-2)} \\\\m &=\frac{-15}{-5}=3\end{aligned}[/tex]
Thus the equation becomes:
p = 3w + b
To find b, plug in either known point:
Substitute (w, p) = (-2, 74)
74 = 3(-2) + b
74 = -6 + b
b = 80
Thus equation becomes:
p = 3w + 80
b. Estimate the price of a share of stock five weeks ago
Here w = -5
p = 3(-5) + 80
p = -15 + 80
p = 65
Thus price of a share of stock five weeks ago is $ 65
Answer:
a) The linear equation to find the price p of a share of XYZ Corporation stock w weeks from now is p = 3w + b
b) Price of a share of stock five weeks ago is $ 65
Solution:
The equation of line (in slope intercept form) is given as:
y = mx + b
Where "m" is the slope and "b" is the y - intercept
The equation of a line for price p of a share of XYZ Corporation stock w weeks from now is:
p = mw + b
where y = the price of the stock, w = weeks, m is the slope and b is the y-intercept and "p" is the price of share
Given that price of a share of stock in XYZ Corporation was 74 two weeks ago. Seven weeks ago, the price was74twoweeksago.Sevenweeksago,theprice was59 a share
So we have two points (-2, 74) and (-7, 59)
The slope "m" can be found as:
m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}m=
x
2
−x
1
y
2
−y
1
\text{ here } x_1 = -2 ; y_1 = 74 ; x_2 = -7 ; y_2 = 59 here x
1
=−2;y
1
=74;x
2
=−7;y
2
=59
\begin{gathered}\begin{aligned}m &=\frac{59-74}{-7-(-2)} \\\\m &=\frac{-15}{-5}=3\end{aligned}\end{gathered}
m
m
=
−7−(−2)
59−74
=
−5
−15
=3
Thus the equation becomes:
p = 3w + b
To find b, plug in either known point:
Substitute (w, p) = (-2, 74)
74 = 3(-2) + b
74 = -6 + b
b = 80
Thus equation becomes:
p = 3w + 80
b. Estimate the price of a share of stock five weeks ago
Here w = -5
p = 3(-5) + 80
p = -15 + 80
p = 65
Thus price of a share of stock five weeks ago is $ 65
