A direct variation is a mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. In other words, a direct variation is where

.
In answer a,

, so it is a direct variation.
In answer c,

, so it is a direct variation.
In answer d,

, so it is a direct variation,
Only answer b is left, which means the answer must be 'b'.
We also know 'b' is the answer because it cannot be expressed as <span>

. Instead, it is expressed as </span>

, which is not the same thing and is therefore not a direct variation.
Hope I helped, and let me know if you have any questions :)
Answer:
You would get 50 coins in that time.
Step-by-step explanation:
To find this, we first need to find the unit rate. We can get that by dividing the amount of coins by the amount of time.
15 coins/ 30 mins = .5 coins per minute.
Now, we have 100 minutes in the second part of the problem, so we multiply the rate by that amount of time.
.5 coins per min * 100 mins = 50 coins
The rest of the letters, A, B, C, D, and E all have only 1 line of symmetry. Notice that the A has a vertical line of symmetry, while the B, C, D, and E have a horizontal line of symmetry.
The ordered pair (-1,5) is a solution to the system because it makes both equations true.
1) x+y=4
2) x-y=-6
1) -1 + 5 = 4
5-1 = 4 you can switch the order to make it easier to understand
so
4 = 4
2) -1 - 5 = -6
-1 + -5 = -6 you can change the sign in the middle and make y -
so
-6 = -6
5) w/8 =11+5 → w/8=16
w=16÷8=2
6)a/-2 -6=1
a/-2=7
a=7×-2=-14
7)k/2=22
k=44