Question

2. Solve the equation below and find the variation constant, k. Find y when x= 18, if y varies directly as x, and y=37 when x=5

*Round your answer to the nearest thousandth, if necessary. ​

Answer 1

k = 7.4

y = 133.2

Explanation:

To find the value of y when x= 18 we must first find the relationship between them

The statement

y varies directly as x is written as

`y \: \: \alpha \: \: kx`

where k is the constant of proportionality

when y = 37

x = 5

Substitute the values into the above formula and solve for k

That's

37 = 5k

Divide both sides by 5

k = 7.4

So the formula for the variation is

y = 7.4x

When x = 18

y = 7.4(18)

We have the answer as

y = 133.2

Hope this helps you