Question

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. Write a mathematical model that relates the total revenue R to the number of units sold x.

Answer 1

y = 9.65x

Explanation:

Given that total revenue is directly proportional to the number of units sold

Let the number of units sold be represented by x and the total revenue be represented by y

Given y∝x

y = kx where k is some constant

Also given that when 500 units are sold, the total revenue is $4825.

Here y=4825 and x=500

Now
`4825= k*500`

k=9.65

Therefore the equation representing the relation between the total revenue and the number of units sold is

y = 9.65x