Question

I need help ASAP please
don't troll
with work

Answer 1

`y = 50x`

Explanation:

Let's start off by trying to find the slope/gradient (commonly denoted as
`m`) of this function

`m = (\Delta y)/(\Delta x)`

This means we divide the change in y over the change in x

Let's pick, for example, x = 3 (who's corresponding y is 150) and x = 4 (who's corresponding y is 200)

`m = (200 - 150)/(4 - 3)\\\\m = 50`

Now we have this:

`y = 50x+b`

Let's plug in a random value of x and y from this function in order to find b. I'll pick x = 2:

`100 = 50\cdot 2 + b\\100 = 100 + b\\b = 0`

Since b is 0, we don't have to write it on our equation, meaning that our final equation is just

`y = 50x`

To verify this, let's say we didn't know the value of y when x is equal to 4 and all we had was that equation:

`y = 50\cdot 4\\y = 200`

Just like it is on the graph :)

Good luck!