Answer:
Jada's profit from selling 5 kg of paprika = $-240
Explanation:
Best method to find Jada's profit from selling 5 kg of Paprika:
- We see that the x-axis represents the amount of Paprika sold and that the ticks represent 5 kg each.
- We're unable to determine the exact amount if we just use the graph since it's hard to see exactly which y-coordinate the line hits when it's at 5 kg.
- Since profit is directly proportional to the amount of paprika and the line is is linear, we can find the equation of the line in slope-intercept form and then find Jada's profit from selling 5 kg of Paprika.
Finding the equation of the line in slope-intercept form:
The general equation of the slope-intercept form is given by:
y = mx + b, where
- m is the slope,
- and b is the y-intercept.
Finding the slope:
We can find the slope, m, using the slope formula, which is given by:
m = (y2 - y1) / (x2 - x1), where
- m is the slope,
- (x1, y1) is one point on the line,
- and (x2, y2) is another point on the line.
- We see that the points (35, 0) and (60, 200) lie on the line.
Therefore, we can substitute (35, 0) for (x1, y1) and (60, 200) for (x2, y2) in the slope formula to find m, the slope of the line:
m = (200 - 0) / (60 - 35)
m = 200 / 25
m = 8
Thus, the slope of the line is 8.
Finding the y-intercept:
Now we can find the y-intercept, b, by substituting 8 for m and (35, 0) for (x, y) in the slope-intercept equation:
0 = 8(35) + b
(0 = 280 + b) - 280
-280 = b
Thus, the y-intercept, b, is -280.
Creating the equation of the line in slope-intercept form:
Thus, the equation of the line in slope-intercept form is given by:
y = 8x - 280
Finding Jada's profit from selling 5 kg of paprika:
Now we can determine Jada's profit from selling 5 kg of paprika by plugging in 5 for x in the equation of the line in slope-intercept line and simplifying:
y = 8(5) - 280
y = 40 - 280
y = -240
Thus, Jada's profit from selling 5 kg of paprika is $-240.