does the data in the table represent a linear function? if so, wirte a rule for the function.
(below is what the table looks like)
x | -2| -1| 0 | 1| 2|
y | -7| 1| 8 | 17| 25|
answer choices
yes; y = 8x +9
yes; y = 8x + 8
no
yes; y = 1/8x + 8
I did. It is not a straight line.
answer is no
so the answer is no??
You are welcome.
what is (25-17)/(2-1) ?
8
what is
(1 - -7) /( -1 - -2) ?
8/1 = 8
humm looks like slope = 8 so far
but what about
(17 -8)/ (1 - 0) = 9 !!!!!
oh my, not the same slope
crash
not on a straight line of constant slope
Sorry I didn't see that he answered. thank u
It is almost a linear function, if the 8 becomes a 9, i.e. the y-values become
-7,1,9,17,25.
Otherwise the answer is no.
It is no for connexus, I checked it as of 2023.
#1 = 2
#2 = the / dash, flat line, another /, not sure how to explain the photo better than that
#3 = the graph that crosses the y line with 2, points on the line being (1,-1), (-1, 5), and (2,-4)
#4 = no
#5 = y = 2x - 6
* * * sorry if 2 & 3 are unclear, if it helps, the letter options I got were both D.
I hope this helps!!!
To determine if the data in the table represents a linear function and find the rule for the function, we need to examine the relationship between the x-values and the y-values.
For this table, we can calculate the difference between consecutive x-values and the difference between consecutive y-values:
Difference in x-values: -1 - (-2) = 1
Difference in y-values: 1 - (-7) = 8
By comparing the differences, we can see that the difference in y-values is a constant multiple (8) of the difference in x-values (1). This suggests that the data represents a linear function.
To find the rule for the function, we can use the general form of a linear function, which is y = mx + b, where m is the slope (rate of change) and b is the y-intercept.
To find the slope (m), we take any two points from the table and calculate the slope between them. Let's choose (-2, -7) and (0, 8):
Slope (m) = (y2 - y1) / (x2 - x1)
= (8 - (-7)) / (0 - (-2))
= 15 / 2
= 7.5
Based on the slope, the rule for the linear function can be written as y = 7.5x + b. To determine the y-intercept (b), we can select any point from the table. Let's choose (0, 8):
8 = 7.5(0) + b
8 = 0 + b
b = 8
Therefore, the rule for the linear function is y = 7.5x + 8.
Looking at the answer choices provided, the correct answer is yes; y = 8x + 8.