Question

The value of y is directly proportional to the value of x. If y equals 35 when x equals 140, what is the value of y when x equals 70?

a) y = 17.5
b) y = 35
c) y = 70
d) y = 140

Answer 1

The value of y is directly proportional to the value of x. Given that y = 35 when x = 140, we can determine the proportionality constant and then find the value of y when x equals 70.

Step-by-step explanation:

The value of y is directly proportional to the value of x. This means that as x increases or decreases, y will also increase or decrease by the same factor. In this case, we have y = kx, where k is the proportionality constant.

Given that y = 35 when x = 140, we can use this information to find the value of k. Substitute the values into the equation: 35 = k * 140. Solve for k by dividing both sides of the equation by 140: k = 35/140 = 1/4.

Now, we can use the proportionality constant to find the value of y when x = 70. Substitute the values into the equation: y = (1/4) * 70 = 17.5.

Therefore, the value of y when x equals 70 is 17.5 (option a).