Does the relation in the table represent direct variation inverse variation or neither? If it is a direct or inverse variation, write an equation to represent the relation.

(x,y)
(5,2)
(10,1)
(15,2/3)
(20,1/2)

Lesson 8 Unit 3

1. C y = 6wx / z
2. B $22
3. Graph C marked on (-9,1) and (3,-3)
4. Graph A the intercept of the dashed lines should be on (2,4)
5. B y = 6 / x+5 +4
6. D x = 1, -6
7. A asymptotes: -3, -1 holes: 0/none
8. A y = -1/4
9. Graph D middle line should have a point of (2,0) and top right curve have an intercept of (7,3)
10. A t-2 / t-3, t/= 3, -3
11. B (x+5)(x-4) / x-1, x/= -3,-4,1
12. A 2x^2 +49 / x(x-7)
13. B n-1/n+5
14. A 2d^2 -5d +24 / (d+2)(d-5)
15. D n-6 / (n+1)(n+8)
16. D -16
17. C x/8 + x/7 = 1; 3.73 hours
18. Inverse, y = 10/x

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AYO EL these are only similar answers they are all changed now

ops wrong test XD

following up on John's observation, let

y = k/x
for (5,2)
2 = k/5
k = 10

y = 10/x

check for (10,1)
is 1 = 10/10, yes
check for the last one: (20, 1/2)
is 1/2 = 10/20 , yes

Rational Functions Unit Test Part 2(not graded yet)

1) (the first parts are just explanation s on how we get the equation to solve the problem, skip if you only need the equation part)
- Since Irina can paint 1 room in 9hrs, that means she paints 1/9 of the room in 1hr. Her portion of the equation would be 1/9x, with x being the number of hours she works and 1/9 of a room per hour being painted at her speed.

- Since Paulo can paint 1 room in 8hrs, that means he paints 1/8 of the room in 1hr. His portion of the equation would be 1/8x, with x being the number of hours he works and 1/8 of a room per hour being completed at his speed.

- The equation would be 1/9x + 1/8x = 1 (Irina's portion of the room + Paulo's portion of the room = 1 whole room).

- Find a common denominator. 72 is the first number that both 9 and 8 divide evenly into. Since 9 * 8 = 72, we multiply the top of 1/9 by 8 to convert the fraction and get 8/72x. Since 8 * 9 = 72, we multiply the top of 1/8 by 9 to convert the fraction and get 9/72x. We now have 8/72x + 9/72x = 1, 17/72x = 1

(this is the portion that just lists the steps)

Divide both sides by 17/72:

17/72x ÷ 17/72 = 1 ÷ 17/72
x = 1/1 ÷ 17/72
x = 1/1 * 72/17
x = 72/17 = 4.24

Together it should take them 4.24 hours.

2) The relation represents an inverse variation because as the values of x increase the values of y decrease.

y = k/x
5 = k/2
k = 5 * 2 = 10

The required equation is y = 10x

3) Given:
d = 2
c = 17

a)
Inverse the equation like this:
c = k/d

Where k is the constant value
17 = k/2
17 * 2 = k
34 = k

b)
c = k/d
c * d = k
d = k/c
d = 34/68
d = 0.5

The value of d is 0.5

To check:
c = k/d
c = 34/0.5
c = 68

tbh idk if the first one is the answer to the question because i closed out of the tab and forgot the question but 2 and 3 should be if you had the same test. With the context given in 1 will help determine if its the same question.

Have a good year everyone and gl, school is almost over :)

Unit 3, Lesson 8 Score 100%, besides ungraded essay question

1) y = 6wx/z
2) $24.00
3) xy + 16 = 0 a. graph with curve at the top left and bottom right
4) y = 5/(x-2)+3 a. graph with bottom curve slightly passing through origin.
5) y = 6/x+5 + 4
6) x = -5, x = 1
7) asymptotes: x = -2, -1; no holes
8) y = - 1/3
9) a. graph w/ first curve in hsape of upside-down 'L', middle curve first arrow on left side pointing left, right curve in shape of 'L'
10)t- 4/t - 6, t = -6, t = 6
11)(x+5)(x-6)/x-1, x = -3, x = -2, x=1
12)3x^2 + 49/x^2 - 7x
13)1 - n/n + 4
14)2d^2 + 8d - 28/(d - 2)(d + 8)
15)n - 6/(n+1)(n+8)
16) a = -4
17) x/9 + x/8 = 4.24 hours
18) Table: x 5 10 15 20(top row) y 2 1 2/3 1/2(bottom row)
- The relation represent an inverse variation because as the values of x increase, the values of y decrease.
y = k/x
5 = k/2
k = 5 * 2 = 10
- The required equation is y = 10/x
Im not sure if these will be the same questions but these are the ones i have. After i finish i may post part 2 of the quiz. Have a nice day and good luck with the rest of the school year, almost over! :)

Dummy

All students have different answers for alg

the algebra tests have similar questions but different numbers, so the answers are different. you'd be better off using mathway or brainly

It looks like inverse,

x doubled from the 1st to second point and y became 1/2 as much.

from 5 to 15 tripled
2 to 2/3 became 1/3