Answer:
[tex] p = 75n + 250 [/tex]
Step-by-step explanation:
Equation of the situation, in slope-intercept form is given as [tex] p = mn + b [/tex].
Where,
b = y-intercept
m = slope
n = number of computers sold
p = total cost
All we need to find is the value of m and b.
Using two pairs from the table of values, (4, 550) and (6, 700):
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{700 - 550}{6 - 4} = \frac{150}{2} = 75 [/tex]
Substitute n = 4, p = 550, and m = 75 in [tex] p = mn + b [/tex], and find the value of b.
[tex] 550 = (75)(4) + b [/tex]
[tex] 550 = 300 + b [/tex]
Subtract 300 from each side
[tex] 550 - 300 = b [/tex]
[tex] 250 = b [/tex]
b = 250
Substitute m = 75, and b = 250 in [tex] p = mn + b [/tex]
✅Equation that represents the situation would be:
[tex] p = 75n + 250 [/tex]
The equation in slope-intercept form to represent this situation is (p = 75n + 250) and this can be determined by using the point-slope form of the line.
Given :
Use the formula of point-slope in order to determine the equation of a line. The point-slope form is given by the equation:
[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.
According to the given table, the points on the line are (4,550) and (6,700).
Substitute the value of [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the formula of point-slope form.
[tex]\dfrac{p-550}{n-4}=\dfrac{700-550}{6-4}[/tex]
Simplify the above expression.
[tex]\dfrac{p-550}{n-4}=\dfrac{150}{2}[/tex]
Cross multiply in the above equation.
(p - 550) = 75(n - 4)
p - 550 = 75n - 300
p = 75n + 250
The equation in slope-intercept form to represent this situation is (p = 75n + 250).
For more information, refer to the link given below:
https://brainly.com/question/19881501
