Question

Suppose y varies directly with x, and y=24 when x= 8. What is the value of y ehen x= 10​

Answer 1

Answer: 30 = y

Step-by-step explanation: When we have two sets of directly related coordinates, x₁ and y₁, and x₂ an y₂, we can use the ratio below to find the missing value.

y₁ / x₁ = y₂ / x₂

We know that y = 24 when x = 8.

So one set of coordinates will be 24 and 8.

We want to know the value of y when x = 10.

So the other coordinates will be y and 10.

So we have 24/8 = y/10.

Now, we can solve for y using cross products.

So we have (24)(10) which is 240 and (8)(y) is 8y.

So we have 240 = 8y.

Now dividing both sides by 8, we have 30 = y.

So 30 is equal to y.