To determine the slope of Function 1, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept. In this case, the equation of Function 1 is y = 0.5x + 3, so the slope of Function 1 is 0.5.
To determine the slope of Function 2, we can use the given table of values. The change in y divided by the change in x between any two points will give us the slope. Taking the first two points (0, 4) and (3, 5), the slope is (5-4)/(3-0) = 1/3. Similarly, the slope between the second pair of points is (6-5)/(9-6) = 1/3. Therefore, the slope of Function 2 is also 1/3.
Since the slopes of the two functions are the same (0.5 and 1/3), statement A is false.
To determine the y-intercept of Function 1, we can look at the equation y = 0.5x + 3. The y-intercept of Function 1 is (0, 3).
To determine the y-intercept of Function 2, we can look at the given table of values. It can be observed that the y-coordinate of all points in the table is greater than 3. Therefore, the y-intercept of Function 2 is not the same as (0, 3).
Since the y-intercepts of the two functions are not the same, statement C is false.
Therefore, neither statement A nor statement C is true.
The correct answer is: None of the above statements is true.
Two linear functions are described below.
Function has the equation .
Function has the table of values shown below.
0 4
3 5
6 6
9 7
Which statement is true regarding the functions and ?
A.
The slopes of the two functions are the same.
B.
The slopes of the two functions are opposites.
C.
The y-intercepts of the two functions are the same.
D.
The y-intercepts of the two functions are opposites.
5 answers
that is not an option
Apologies for the confusion. Let's re-evaluate the options based on the given information.
The slope of Function 1 is 0.5, and the slope of Function 2 is 1/3. Since these slopes are not the same, statement A is false.
The y-intercept of Function 1 is (0, 3), and the y-intercept of Function 2 is not given. Without knowing the y-intercept of Function 2, we cannot determine if the y-intercepts are the same or opposite. Therefore, we cannot conclude that statement C is true or false based on the given information.
Therefore, the correct answer is: None of the above statements can be determined to be true or false based on the given information.
The slope of Function 1 is 0.5, and the slope of Function 2 is 1/3. Since these slopes are not the same, statement A is false.
The y-intercept of Function 1 is (0, 3), and the y-intercept of Function 2 is not given. Without knowing the y-intercept of Function 2, we cannot determine if the y-intercepts are the same or opposite. Therefore, we cannot conclude that statement C is true or false based on the given information.
Therefore, the correct answer is: None of the above statements can be determined to be true or false based on the given information.
you keep giving an answer that is not on there to chose from
Apologies for the confusion. Let's re-evaluate the options based on the given information.
The slope of Function 1 is 0.5, and the slope of Function 2 is 1/3. Since these slopes are not the same, statement A is false.
The y-intercept of Function 1 is (0, 3), and the y-intercept of Function 2 is not given. Without knowing the y-intercept of Function 2, we cannot determine if the y-intercepts are the same or opposite. Therefore, we cannot conclude that statement C is true or false based on the given information.
Since statement A is false and statement C cannot be determined, the correct answer is: None of the above statements is true.
The slope of Function 1 is 0.5, and the slope of Function 2 is 1/3. Since these slopes are not the same, statement A is false.
The y-intercept of Function 1 is (0, 3), and the y-intercept of Function 2 is not given. Without knowing the y-intercept of Function 2, we cannot determine if the y-intercepts are the same or opposite. Therefore, we cannot conclude that statement C is true or false based on the given information.
Since statement A is false and statement C cannot be determined, the correct answer is: None of the above statements is true.