Suppose the cost of college for accounting courses are linear relationship with its credit hours.
To take 48 credit hours it costs 6000 Birr and for 64 credit hours 8000 Birr. On the first semester
one student required to take 28 credit hours. The equation for this relationship is?
To find the equation for the relationship between the cost of college and credit hours, we can use the given information.
Let's assume the cost of college for x credit hours is y Birr.
From the given data, we have two points on the line: (48, 6000) and (64, 8000).
Using the two-point form of a linear equation, the equation for the relationship can be determined as follows:
1. Find the slope (m):
m = (8000 - 6000) / (64 - 48)
m = 2000 / 16
m = 125
2. Use the point-slope form of a linear equation, where we can choose either of the given points:
y - 6000 = 125(x - 48)
Expanding:
y - 6000 = 125x - 6000
y = 125x
Therefore, the equation for the relationship between the cost of college and credit hours is y = 125x.
Since the student is required to take 28 credit hours, we can substitute x = 28 in the equation to find the cost:
y = 125(28)
y = 3500
Thus, the cost for the student to take 28 credit hours is 3500 Birr.