The independent variable is the number of canvases and the dependent variable is the portraits
because she can’t make portraits if she doesn’t I have canvases so the number of portraits is decided on how many canvases she has
Answer:
1.275
Explanation:
The given equation is:
f(x) = 0.01(2)ˣ
We want to find the rate of change from 2 to 10 which means that we need to find the slope from 2 to 10.
We start by getting the y-values for each of the given x-values:
at x = 2 ..........> y = 0.01(2)² = 0.04 ...........> point is (2, 0.04)
at x = 10 .........> y = 0.01(2)¹⁰ = 10.24 .........> point is (10, 10.24)
Now, we get the slope as follows:
slope =
Hope this helps :)
Cos (180) = - 1
I just plugged it into a calculator.
When we look at this thing for the first time, it looks like it's going to be a dog of a bear to solve, because 'q' is buried inside a squared term and a cubed term.
But this is why it's so important to learn that in math, you DON't immediately ignite your hair and go running around in circles as soon as you see the problem. The first thing you have to do <u>every</u> time is sit still, look at the problem, breathe air, and switch your brain into the 'ON' position.
Look at that big ugly fraction in the equation. Can it be simplified ? You betcha it can ! The quantity (q+r) is a factor of the numerator and denominator, so we can do some canceling.
Divide the top and the bottom of the fraction by (q+r)², and then the problem says . . .
<em>p = (q+r)/12 + 4r</em>
which is MUCH easier to unravel and solve for 'q' . Let's do this !
p = (q+r)/12 + 4r
Subtract (q+r)/12 from each side . . . p - (q+r)/12 = 4r
Subtract 'p' from each side . . . -(q+r)/12 = 4r - p
Multiply each side by -1 . . . (q+r)/12 = p - 4r
Multiply each side by 12 . . . (q+r) = 12p - 48r
Subtract 'r' from each side . . . <em>q = 12p - 49r</em>
The way I'm reading this, your equation would be 5+0.75x=y.
If 2, 5, 8, and 10 are units, then you would plug those in individually and solve, like this:
5+0.75(2)= 6.5
5+0.75(5)=8.75
5+0.75(8)=11
5+0.75(10)=12.5
Hope this helps!
