Question

If x and y are in direct proportion and y is 60 when x is 12, find y when x = 7

Answer 1

In a direct proportion between x and y, with y = 60 when x = 12, we found the constant of proportionality (k) to be 5. Using this, we calculated y to be 35 when x = 7.

Step-by-step explanation:

To find the value of y when x = 7, we first need to understand the direct proportion relationship between x and y.

We know that y is directly proportional to x, so we can write the relationship as y = kx, where k is the constant of proportionality.

Given that y = 60 when x = 12, we can substitute these values into the equation to find k:
60 = k(12)
k = 60 / 12
k = 5

Now that we have the constant of proportionality, we can find y when x = 7.
y = kx
y = 5(7)
y = 35

Therefore, when x = 7, y will be 35.