3 years ago

What is the constant of proportionality?

1 answer:

5 0

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same ratetion:

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Last month robert sold three quarters of his inventory and then bought 3,000 in new inventory.If he now has 6,000 in inventory h

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Answer:

He have at the beginning inventory of 4,000.

Step-by-step explanation:

Given:

Last month robert sold three quarters of his inventory and then bought 3,000 in new inventory.

If now he has 6,000 in inventory.

Now. to find inventory he have at the beginning of last month.

Let the inventory at the beginning of last month be $x.$

The inventory he sold last month:

$\frac{3}{4}\ of\ x$

$=\frac{3}{4} \times x$

$=\frac{3x}{4}$

Then, he bought inventory 3,000 in new inventory.

Now, he has 6,000 in inventory.

So, we set an equation to solve it:

$\frac{3x}{4} +3000=6000$

Subtracting both sides by 3000 we get:

$\frac{3x}{4} =3000$

Multiplying both sides by 4 we get:

$3x=12000$

Dividing both sides by 3 we get:

$x=4000.$

Therefore, he have at the beginning inventory of 4,000.

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