For the data in the table does y vary directly with X if it does write an equation for the direct variation.
X Y
8 11
16 22
24 33
A. Yes;y=2.75x ***
B. Yes;y= 0.6875x
C. Yes;y=1.375x
D. No; y does not vary directly with x
sO whAtS thE anSwer??
TELL US THE ANSWER!!
Alright everyone. I got 20/22 - All answers below are the right ones tho.
"IF YOU SEE ANY OF THESE ANSWERS ARE NOT MATCHING WITH WHAT YOU HAVE ON YOUR TEST, ~ DO NOT LISTEN TO ME. ~"
Use Desmos for graphing, I can't put pictures - If you see me mention desmos, then use it for that question.
Unit 6 : Lesson 10; Linear Functions Unit Test
1. yes; y = 1.625
2. no; y does not vary directly with x
3. I graphed on Desmos - It's a positive slope
4. Also on Desmos - Positive slope
5. I got this wrong, but the right answer is : 51/1; your car travels 51 miles every 1 hour.
6. 1/3
7. -2/3
8. I said infinity, which was wrong, but the right answer was 'undefined'
9. y - 3 = 5 (x - 8)
10. y + 6 = -5/8 (x + 10)
11. y - 16 = 8 (x - 2)
12. it's straight-up, at y = 0 and x = -3. I used Desmos.
Hey, look!! You're halfway!! Keep it up ! <3
13. 5x + 8y = 24 (i guessed this one but ig it was right lmao)
14. y = 3x + 4
15. perpendicular
16. neither
17. y - 9 = -3/7 (x + 4)
18. The functions have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second function is -3.
19. The two graphs have the same shape but the second graph is shifted two units left.
20. The point of the V is at -5y. also on Desmos.
21. Desmos!!! Point of the V is at 4x !
22. Positive Correlation
Hint for 23, ;)
23. Where is the decimal rounded?
24. Go to brainly and find question 19141995
I'm not sure if this is right since my essay questions haven't been graded yet but I could barely read the question so yea. :P
To determine whether y varies directly with x, we need to check if the ratio of y to x remains constant for each pair of data points.
Let's calculate the ratios for the given data:
For the first data point (8, 11): y/x = 11/8 = 1.375
For the second data point (16, 22): y/x = 22/16 = 1.375
For the third data point (24, 33): y/x = 33/24 = 1.375
Since the ratio of y to x is the same (1.375) for all the data points, we can conclude that y varies directly with x.
Now, let's write the equation for direct variation. Since the equation for direct variation is of the form y = kx, where k is the constant of variation, we can choose any data point to find the value of k.
Let's use the first data point (8, 11):
11 = k * 8
Solving for k, we get: k = 11/8 = 1.375
Therefore, the equation for direct variation is y = 1.375x.
So, the correct answer is C. Yes; y = 1.375x.
Y/X = 11/8.
Y/x = 22/16 = 11/8.
Y/X = 33/24 = 11/8.
When X was doubled, Y doubled.
When X was tripled, Y tripled.
Therefore, Y varies directly with X.
Y/X = 11/8.
8y = 11x,
Y = ?
if y varies directly with x, then it must have the form
y = mx , (no constant like in y = mx + b )
evaluate 11÷8 , then 22÷16, then 33÷24
Care to re-evaluate your choice ?