The system of equations: y= 75x for expenses and y=150x for revenue could also be used to predict the same information. Hence, the answer is D.
How to solve
Let's consider the relationship between the items purchased for resale (x) and the total cost (y) for expenses, as well as the relationship between the items sold (x) and the total income (y) for revenue.
For the expenses (Total Cost):
Given the table:
10 items purchased for $750
20 items purchased for $1500
30 items purchased for $2250
40 items purchased for $3000
We observe that the relationship is linear. It appears that for every 10 items purchased, the cost increases by $750.
So, the equation representing the expenses would be:
y=75x
For the revenue (Total Income):
Given the table:
5 items sold for $750
10 items sold for $1500
15 items sold for $2250
20 items sold for $3000
Similar to the expenses, it shows a linear relationship. For every 5 items sold, the income increases by $750.
Therefore, the equation representing the revenue would be:
y=150x
Comparing these equations with the choices given:
D- Y= 75x: Y=150x
The system of equations: y= 75x for expenses and y=150x for revenue could also be used to predict the same information. Hence, the answer is D.