If y=7.5 when x=0.5, find y when x=-3My algebra one teacher is horrible! I never understand anything she is saying! Please explain in simple terms!
Okay, the first thing you need to do is figure out what the relationship is between x and y. Here's how you do that:
First, write a direct-variation formula
y = kx where k is the constant of variation. Plug in the y and x values that you know.
7.5 = .5k
To find for k, multiply both sides by 2 and you get k = 15
By that, we know that y is 15 times bigger than x.
So now all you have to do is plug your other value for X into that equation (y = kx). Remember that we know that k = 15
So that gives us y = 15*-.3
And when you do the math, you get
y = -4.5
In general you can set up probems like this as a ratio where y1/x1 = y2/x2. In your problem, y1 is 7.5, x1 is 0.5 and x2 is -3. y2 is what you want to find. You then have 7.5/0.5 = y/-0.3 and you can solve for y. If you use this ratio methodyou can solve for any of the four variables by entering the known values for the other three.