Answer:
See explanation
Step-by-step explanation:
The constant of variation is found using the slope formula:
![\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
The given relation is
X : -2 , -3, -4, -5
Y : -5, -7.5,-10,-12.5
We can use any two ordered pair to find the constant of variation.
Using (-2,-5) and (-3,-7.5), we have
![m=\frac{-7.5--5}{-3--2} =\frac{-2.5}{-1} =2.5](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-7.5--5%7D%7B-3--2%7D%20%3D%5Cfrac%7B-2.5%7D%7B-1%7D%20%3D2.5)
The constant of variation is 2.5
We need to repeat this for all the options to identify the one with -2.5 as slope.
unfortunately, you did not provide the remaining options.
Answer:
p = 2
Step-by-step explanation:
Step 1: Write equation
-5 + -2p = -9
Step 2: Solve for <em>p</em>
<u>Simplify:</u> -5 - 2p = -9
<u>Add 5 to both sides:</u> -2p = -4
<u>Divide both sides by -2:</u> p = 2
Step 3: Check
<em>Plug in p to verify it's a solution.</em>
-5 - 2(2) = -9
-5 - 4 = -9
-9 = -9
45% ------> $50*.45=$22.50 $50-22.50= $27.50
30%+20% ------ > $50*.30=$15 $50-15=$35 $35*.20=7 $35-7=$28
I believe it would be the 3rd one.