The total revenue R (in dollars) is directly proportional to the number of units sold x. When 25 units are sold, the total revenue is $300. Write a mathematical model that relates the total revenue R to the number of units sold x.

Question

Mathematics

Bianca Pineda

2 May, 06:16

The total revenue R (in dollars) is directly proportional to the number of units sold x. When 25 units are sold, the total revenue is $300. Write a mathematical model that relates the total revenue R to the number of units sold x.

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Answers (1)

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Evie Whitehead · Answer 1

Step-by-step explanation:

The total revenue R (in dollars) is directly proportional to the number of units sold x. This means that

R is directly proportional to x

If we introduce a constant of proportionality, k, it becomes

R = kx

When 25 units are sold, the total revenue is $300. We will substitute the value of R and x to get a value for k. It becomes

300 = 25k

K = 300/25 = 12

The mathematical model that relates the total revenue R to the number of units sold x will be

R = 12x