If y varies inversely as x, and y = 6 when x = 24, find x when y = 18

x = 8

Step-by-step explanation:

Standard form for inverse variation:

y = k/x

We now use the given information to find k.

y = 6 when x = 24

6 = k/24

k = 6 * 24

k = 144

The equation for this inverse relation is

y = 144/x

For y = 18, we get

18 = 144/x

18x = 144

x = 144/18

x = 8

Step-by-step explanation:

To find the value of x when y = 18 we must first find the relationship between them.

The statement

y varies inversely as x is written as

where k is the constant of proportionality

From the question when

y = 6

x = 24

Substitute the values into the above equation

That's

Cross multiply

That's

k = 24(6)

k = 144

So the formula for the variation is

When

y = 18

Cross multiply

18x = 144

Divide both sides by 18

Hope this helps you

it would be 6xy and -16xy.

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.