Question

suppose that y is proportional to the 4th power of x and that y=13 when x=2 what is y when x=5

Answer 1

suppose that y is inversely proportional to the cube of x and that y = 18 when x =20 what is y when x =5 round your answer to two decimal places if necessary

Answer 2

To solve this question, we can set up a proportion by using the given information.

Since "y is proportional to the 4th power of x," we can write the equation as:

y = kx^4

where k is the constant of proportionality.

Given that y = 13 when x = 2, we can substitute these values into the equation:

13 = k(2^4)
13 = 16k

To find the value of k, we divide both sides of the equation by 16:

k = 13/16

Now, we can use this value of k in the equation to find y when x = 5:

y = (13/16)(5^4)
y = (13/16)(625)
y = 406.25

Therefore, when x = 5, y is approximately 406.25.

Answer 3

To solve this question, we can use the inverse proportion formula:

y = k/x^3

where k is the constant of proportionality.

Given that y = 18 when x = 20, we can substitute these values into the equation:

18 = k/(20^3)
18 = k/8000

To find the value of k, we multiply both sides of the equation by 8000:

k = 18 * 8000

k = 144000

Now, we can use this value of k in the equation to find y when x = 5:

y = 144000/(5^3)
y = 144000/125
y = 1152

Therefore, when x = 5, y is equal to 1152.