Question

I need help very quickly ! Worth 20 pts. Pls provide work attached that is eligible

Answer 1

Check attached image

Answer 2

a) y = 9216

b) y = 360

Since x and y vary directly, y and x are directly related and can be expressed as y = kx. where k is a constant

y will increase as x increases. y will also decrease as x decreases.

I used k1 and k2 to separate the two questions and avoid confusion but using the constant k is fine.

a) For part a, you can substitute y = kx with the values of y and x.

`1024 = k1 * 9`

Hence, we can find the constant k1

`k1 = (1024)/(9)`

Now, we can plug in the values into the original equation and obtain the new equation

`y = (1024)/(9) x`

We can now solve part a by plugging in 81 into the value of x.

`y = (1024)/(9) * 81 = 9216`

b) Like part a, we can use the same method to find y for part b.

substitute y = kx with the values of y and x.

`72 = k2 * (1)/(2)`

Hence, we can find the constant k2

`k2 = 72 / (1)/(2) = 144`

Now, we can plug in the values into the original equation and obtain the new equation

`y = 144x`

We can now solve part a by plugging in 5/2 into the value of x.

`y = 144 * (5)/(2) = 360`