Question

Variables x and y vary directly and y = 56 and x = 14. Write an equation that relates x and y. Then find y when x = 5

Answer 1

Step-by-step explanation:If x and y vary directly, it means that they are proportional to each other. We can write an equation that relates x and y using the proportionality constant k:

y = kx

To find k, we can use the given information that y = 56 when x = 14:

56 = k(14)

Solving for k, we get:

k = 4

Now we can use this value of k to find y when x = 5:

y = 4x

y = 4(5)

y = 20

Therefore, when x = 5, y = 20.