The total revenue R (in dollars) is directly proportional to the number of units sold x. When 500 units are sold, the total revenue is $4825. Find a mathematical model that relates the total revenue R to the number of units sold x.

Question
Forms of linear equations
asked 2020-10-23
The total revenue R (in dollars) is directly proportional to the number of units sold x. When 500 units are sold, the total revenue is $4825. Find a mathematical model that relates the total revenue R to the number of units sold x.

Answers (1)

2020-10-24
Use the direct variation equation:
R=kx
When x=500, R=$4825 so we can solve for k:
4825=k(500)
4825/500=k
9.65=k
So, the mathematical model is:
R=9.65x
0

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