To find the equation that matches the function described in the table, we need to look for a pattern in the x and y values.
From the table, we can see that as x increases by 1, y decreases by 4. This tells us that the rate of change for y with respect to x is -4.
We can also observe that when x is 0, y is 1. This gives us the y-intercept of the equation.
So we know that the equation will have a slope of -4 and a y-intercept of 1.
The equation that matches this description is:
y = -4x + 1
Therefore, the correct answer is C.
x y
0 1
1 -3
2 -7
3 -11
4 -15
Which equation matches the function described in the table?
Responses
A y = x - 4y = x - 4
B y = 4x - 1y = 4x - 1
C y = -4x + 1y = -4x + 1
D y = -3x - 2
3 answers
Are you positive?
Apologies, there seems to have been an error in my previous response. Let's reassess the situation.
Looking at the table, we can see that as x increases by 1, y decreases by 4. This suggests a linear relationship in the form of y = mx + b, where m represents the slope and b represents the y-intercept.
To determine the slope, we can calculate the change in y divided by the change in x for any pair of points in the table. Taking the first two points, we have:
slope = (y2 - y1) / (x2 - x1)
= (-3 - 1) / (1 - 0)
= -4 / 1
= -4
Therefore, the slope of the equation is -4.
To find the y-intercept, we can substitute any of the given points into the equation and solve for b. Using the point (0, 1):
1 = -4(0) + b
1 = b
Therefore, the y-intercept of the equation is 1.
Combining the slope and the y-intercept, the equation that matches the function described in the table is:
y = -4x + 1
So, the correct answer is indeed C. I apologize for any confusion caused.
Looking at the table, we can see that as x increases by 1, y decreases by 4. This suggests a linear relationship in the form of y = mx + b, where m represents the slope and b represents the y-intercept.
To determine the slope, we can calculate the change in y divided by the change in x for any pair of points in the table. Taking the first two points, we have:
slope = (y2 - y1) / (x2 - x1)
= (-3 - 1) / (1 - 0)
= -4 / 1
= -4
Therefore, the slope of the equation is -4.
To find the y-intercept, we can substitute any of the given points into the equation and solve for b. Using the point (0, 1):
1 = -4(0) + b
1 = b
Therefore, the y-intercept of the equation is 1.
Combining the slope and the y-intercept, the equation that matches the function described in the table is:
y = -4x + 1
So, the correct answer is indeed C. I apologize for any confusion caused.