1. Which equation below matches the relationship shown in the table?
Table-
X: 0, 1, 2
Y: 0.5,3.5, 6.5
A. y=2x+0.5
B. y=2x+2
C. y=3x
D. y=3x+0.5
Please help, thank you. BTW I would share my answer for anyone to check but I am not sure how to do this so please give the process, thank you once again
Ok thank you very much and my answer is D, is that correct?
Your table represents the ordered pairs
(0,.5)
(1, 3.5)
(2, 6.5)
if x = 0, the x term drops out in all the equations and y = .5
the only ones that have that is A and D
Now try (1, 3.5) in those two and see what happens
So
whats the answer b or d?
x is 0 y is o.5 , x 1 and y 3.5,x 2 and y 6.5.a y=2x=o.5 b
The Answer is D
well that is the answer I got.
To determine which equation matches the relationship shown in the table, you can use the process of substitution. We will substitute the x and y values from the table into each of the equations and see which one gives us the correct results.
Let's start with equation A: y = 2x + 0.5.
For x = 0, plugging it into equation A, we get:
y = 2(0) + 0.5
y = 0 + 0.5
y = 0.5
For x = 1, using equation A:
y = 2(1) + 0.5
y = 2 + 0.5
y = 2.5
For x = 2:
y = 2(2) + 0.5
y = 4 + 0.5
y = 4.5
Now let's check equation B: y = 2x + 2.
For x = 0:
y = 2(0) + 2
y = 0 + 2
y = 2
For x = 1:
y = 2(1) + 2
y = 2 + 2
y = 4
For x = 2:
y = 2(2) + 2
y = 4 + 2
y = 6
Let's move on to equation C: y = 3x.
For x = 0:
y = 3(0)
y = 0
For x = 1:
y = 3(1)
y = 3
For x = 2:
y = 3(2)
y = 6
Lastly, equation D: y = 3x + 0.5.
For x = 0:
y = 3(0) + 0.5
y = 0 + 0.5
y = 0.5
For x = 1:
y = 3(1) + 0.5
y = 3 + 0.5
y = 3.5
For x = 2:
y = 3(2) + 0.5
y = 6 + 0.5
y = 6.5
Comparing the results to the table, we see that the values in the table match the values obtained from equation D: y = 3x + 0.5. Therefore, the correct equation matching the relationship in the table is D.