Question

If x and y are in direct proportion and y is 36 when xx is 9, find y when xx is 8.

Answer 1

To find y when x is 8, given that y is 36 when x is 9 in a direct proportion, first calculate the constant of proportionality (k), which is 4. Then, multiply k by 8, resulting in y being 32.

Step-by-step explanation:

If x and y are in direct proportion and y is 36 when x is 9, to find y when x is 8, we can use the concept of direct proportionality. The formula that relates x and y in direct proportion is y = kx, where k is the constant of proportionality.

First, we find the constant of proportionality using the given values of x and y:

• x = 9
• y = 36

So, k = y / x = 36 / 9 = 4.

Now, using the constant k, we can find the value of y when x is 8:

• x = 8
• y = kx = 4 * 8 = 32

Therefore, y is 32 when x is 8, given that x and y are in direct proportion.