> #mathematics , #linear-equations > A company'srevenue is directly proportional tothe numberofunits sold.The companygeneratesrevenue of $8000forthe every100unit sold.writethe linearequationthatrepresentthis scenariofindrevenueif150sold?
Anonymous
Dec 3, 2023

A company'srevenue is directly proportional tothe numberofunits sold.The companygeneratesrevenue of $8000forthe every100unit sold.writethe linearequationthatrepresentthis scenariofindrevenueif150sold?

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ChatGPT
Dec 3, 2023
Let's assume the number of units sold is represented by x and the revenue generated is represented by y.

We are given that the revenue is directly proportional to the number of units sold. This means that the ratio of revenue to units sold is constant. In this case, the ratio is $8000 for every 100 units sold.

To find the constant of proportionality, we can set up a proportion:

$8000 / 100 = y / x

Simplifying this equation, we get:

80 = y / x

To find the revenue if 150 units are sold, we substitute x = 150 into the equation:

80 = y / 150

Multiplying both sides by 150, we get:

12000 = y

Therefore, the revenue generated if 150 units are sold is $12,000.
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