Question

Y is directly proportional to x ,if x=20 when y=160,then what is the value of x When y=3.2​

Answer 1

To determine the value of x when y=3.2, we first calculate the proportionality constant k as 8 from the given values. We then use this constant to find that x equals 0.4 when y is 3.2.

Step-by-step explanation:

When two quantities are directly proportional, it implies that as one quantity increases, the other quantity increases at a constant rate. This relationship can be expressed with the formula y = kx, where k is the proportionality constant. In this problem, we were given that when x = 20, y = 160, which allows us to find the value of k by rearranging the formula to k = y/x. After calculating k, we can then determine the value of x when y = 3.2 using the same formula, substituting k and the new value for y.

Let's solve for k first:

k = y/x = 160/20 = 8

Now we can use k to find x when y = 3.2:

y = kx -> 3.2 = 8x

x = 3.2/8 = 0.4

Therefore, the value of x when y = 3.2 is 0.4.

Answer 2

when y=3.2, the value of x is 0.4.

Step-by-step explanation:

If y is directly proportional to x, it means that y = kx, where k is the constant of proportionality. To find the value of k, we can use the given information that when x=20, y=160:

y = kx

160 = k(20)

k = 8

Now that we have the value of k, we can use it to find the value of x when y=3.2:

y = kx

3.2 = 8x

x = 0.4

Therefore, when y=3.2, the value of x is 0.4.