I need help ASAP please don't troll with work

Question

asked May 12, 2021 91.4k views

1 Answer

Badigard · Answer 1 · 2021-05-19T04:30:39+0000

Answer:

y = 50x

Explanation:

Let's start off by trying to find the slope/gradient (commonly denoted as
) 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!