Hello. My algebra teacher gave me this worksheet last week and everyone had to bring it yesterday and I haven't done it yet. Can someone please help me. He said Friday is the last day or he's going to take away some points. I've been having trouble with all these math problems. I feel like the class is moving to fast and i'm just there. My mom does try to help me but she always yells and gets mad at me when i don't understand so I just decided its better of to just study alone. I'm going to start with my new tutor next week and i'm going to write these questions and let her explain to me but for right now I really need these answers. Please please don't say i'm lasy becuase i'm really not i'm just a bit slow when it comes to math. Thanks to who ever answers in advance.
1.Determine whether the equation represents a direct variation. If it does, find the constand of variation. 2y= 5x + 1
Not a direct variation
Direct variation, constant of variation is 5/2
Direct variation, constant variation is 2/5
Direct variation, constand of variation is 1-2/5
2. Determine whether the equation represents a direct variation. If it does, find the constant of variation.
-12x=6y
Not a direct variation
Direct variation, constant of variation is 1/2
Direct variation, constant variation is 2
Direct variation, constand of variation is -2
3. Determine whether the equation represents a direct variation. If it does, find the constant of variation.
0.7x-1.4y=0
Not a direct variation
Direct variation, constant of variation is 1/2
Direct variation, constant variation is 2
Direct variation, constand of variation is -2
4. Suppose y varies directly with x. Write a direct variation equation that relates x and y.
y= -10 when x=2
y= -5x
y= -1/5x
y=5x
y=1/5x
5.Suppose y varies directly with x. Write a direct variation equation that relates x and y.
y=10.4 when x =4
y= 3.4x
y=3.8x
y=3.2x
y=2.6x
6. Suppose y varies directly with x. Write a direct variation equation that relates x and y.
y= 7 1/2 when x =3
y= 3/2x
y= 2/3x
y=5/2x
y=2/5x
7. graph the direct variation equation.
y= 1/3x
8.graph the direct variation equation.
y= -1/2x
9. For the data in the table, tell whether y varies directly with x. if it does, write an equation for the first direct variation.
x y
3 5.4
7 12.6
12 21.6
Not a direct variation
Direct variation, y= 1.8x
Direct variation, y= 4x
Direct variation, y= 5/9x
10.For the data in the table, tell whether y varies directly with x. if it does, write an equation for the first direct variation.
x y
-2 1
3 6
8 11
69 answers
After you meet with your new tutor next week, you may or may not need to do this again, but you need help now! Talk to your teacher!!
Sometimes text or your notes have definitions that are difficult to understand.
Here is the definition that is easy to understand:
A direct variation gives you an equation that contains no constants, and there are no exponents on the two variables.
e.g. y = 8x is a direct variation,
but y = 8x + 4 is NOT, since I see a constant of 4
a direct variation can be written in the form
y = kx , where k is the constant of variation
#1, not a variation, I see a +1 sitting there as a constant
#2, yes it is a direct variation:
-12x = 6y
6y = -12x
y = -2x
so the constant of variation is -2 , if y varies directly with x
or
-12x = 6y
x = -(1/2)x
now the constant of variation is -1/2 , if x varies directly as y
so it depends how you express the equation, either in terms of x or in terms of y
#3,
.7x - 1.4y = 0
.7x = 1.4y
1.4y = .7x
y = (.7/1.4)x = (1/2)x
so , yes it is, and the constant of variation is 1/2
From #4 on, you have to first find the equation.
I will do #4, you try the remaining.
#4, they tell us it is a direct variation, so it must look like
y = kx
They give us x=2 when y = -10
let's plug in those values:
-10 = k(2)
2k = -10
k = -5
aaahhhh, so y = -5x is our equation
#6, same way, just some fractions to deal with
#7, to graph, pick any x, and find the y to get ordered pairs,
e.g. let x = 3, then y = (1/3)(3) = 1, --> point(3,1)
let x = 9, then y = (1/3)(9) = 3 ---> point (9,3)
plot those two points, and join with a straight line
Notice how I picked multiple of 3's for my x's so I could take 1/3 of the x without ending up with fractions?
#8 , same as #7, pick multiples of 2 for your x's
#9 and #10 are the same type
#9
assume it is a direct variation, then its equation must be
y = kx
use the first given data: x = 3, y = 5.4
then 5.4 = k(3)
3k = 4.5
k = 1.5
equation is y = 1.5x
do the other points satisfy our equation?
for (7, 12.6)
is 12.6 = 1.5(7) ?
12.6 = 10.5 ??? NO, so the given data is NOT a direct variation
#10 same way
1 A
2 D
3 c
4 A
5 C
6 D
7 A
8 C
9 B
10 A
thank you @Reiny
Mathifun and purplemath
Hope all of you have a great day!! help math answer y maths x lifted XD LOL!!
2. D
3. B
4. A
5. C
6. D
7. A
8. C
9. B
10. A
A
D
B
A
C
D
A
C
B
A
Trust me I got 100% on the test
1. A (Not a direct variation)
2. D (direct, -2)
3. B (direct, 1/2)
4. A (y= -5x)
5. C (5/2x)
6. D (y= 2.6x)
7. A
8. C
9. B (Direct, 1.8x)
10. Not a direct variation
Hope this helped :)
10/10 100%
1. D / 21
2. B / 3/4
3. A / 1/4
4. B / 200
5. A / n=9.48t
1.Not a direct variation
2.D Direct -2
3.B Direct 1/2
4.A -5x
5.C 5/2x
6.D 2.6x
7.A
8.C
9.B Direct 1.8x
10.Not a direct variation
I seriously hope that this helps those of you who need it. Math can be hard but I suggest taking a look at these answers and trying to connect them to the problem. Maybe you'll see the connection and become familiar with solving similar problems to them in the future! Anyway, best of luck to you all!
1 A
2 D
3 B
4 A
5 C
6 D
7 A
8 C
9 B
10 A
There are a few questions at th top that are mixed up but if you listen to Reiny and tbh follow there exact letter answers and don't change any besides 3 (which is actually B) then you will pass 10/10 100%
**Update on earth, We're living in a global pandemic with no cure to it**
Who would have thought
1. A. Not a direct variation
2. D. direct variation, constant of variation is -2
3. B. direct variation, constant of variation is 1/2
4. A. y = -5x
5. C. y = 5/2x
6. D. y = 2.6x
7. A.
8. C.
9. B. direct variation, y = 1.8x
10. A. Not a variation
100% 10/10
The Teachers on here are the only ones who aren't actually helpful lmao
2. C 201.6
3. B 3/4
4. A 1/4
5. B 200
*We have a vaccine now*
1.A
2.D
3.B
4.A
5.C
6.D
7.A
8.C
9.B
10.A
Hope this helps! <3
2. D. direct variation, constant of variation is -2
3. B. direct variation, constant of variation is 1/2
4. A. y = -5x
5. C. y = 5/2x
6. D. y = 2.6x
7. A.
8. C.
9. B. direct variation, y = 1.8x
10. A. Not a variation
1 A
2 D
3 B
4 A
5 C
6 D
7 A
8 C
9 B
10 A
|Direct Variation Practice|
#1). A
#2). D
#3). B
#4). A
#5). C
#6). D
#7). A
#8). C
#9). B
#10). A
=100%/ (from connexus - reach cyber)
A
B
instead of
A
D
for the start of it
Direct variation is a relationship between two variables, where one variable is always a constant multiple of the other. This relationship can be expressed as y = kx, where x and y are the variables, and k is the constant of variation.
Inverse variation is another type of relationship between two variables, where the product of the two variables is a constant. This relationship can be expressed as y = k/x, where x and y are the variables, and k is the constant of variation.
Joint variation refers to the relationship between three or more variables, where their product is a constant value. The joint variation formula can be expressed as y = kxyz, where x, y, and z are the variables, and k is the constant of variation.
Understanding these types of variations is important in various fields, such as science, economics, and engineering.
Genetic variation is the basis for natural selection and evolution, as it provides the raw material for traits that may be favored by environmental conditions. This variation arises from mutations, sexual recombination, and gene flow between populations.
Environmental variation, on the other hand, is the result of differences in physical and biological conditions that affect organisms or objects. These conditions can include factors such as temperature, light, food availability, and pollution. Environmental variation can have significant effects on the health, behavior, and evolution of individuals and populations.
Understanding variation is essential in many areas of science, including genetics, ecology, and epidemiology, in order to understand the diversity of living organisms and the factors that affect their survival and evolution.