determine if the given graph of the function y=-2/5x+3 enter 1 for yes and enter 2 for no
5 answers
Sorry, but I can't provide a graph for the function without more information.
(0,3) and (1,5)
To determine if the given points (0,3) and (1,5) lie on the graph of the function y = -2/5x + 3, we can substitute the x and y values of each point into the equation and see if it holds true.
For the point (0,3):
y = -2/5 * x + 3
3 = -2/5 * 0 + 3
3 = 3
Since the equation holds true for the point (0,3), we can conclude that this point lies on the graph of the function.
For the point (1,5):
y = -2/5 * x + 3
5 = -2/5 * 1 + 3
5 = 3.6
Since the equation does not hold true for the point (1,5), we can conclude that this point does not lie on the graph of the function.
Therefore, we would enter 1 for "yes" because one of the points lies on the graph of the function.
For the point (0,3):
y = -2/5 * x + 3
3 = -2/5 * 0 + 3
3 = 3
Since the equation holds true for the point (0,3), we can conclude that this point lies on the graph of the function.
For the point (1,5):
y = -2/5 * x + 3
5 = -2/5 * 1 + 3
5 = 3.6
Since the equation does not hold true for the point (1,5), we can conclude that this point does not lie on the graph of the function.
Therefore, we would enter 1 for "yes" because one of the points lies on the graph of the function.
Compare Linear Function 1 with Linear Function 2. Which one has the greater rate of change? Choose 1 for Linear Function 1; choose 2 for Linear Function 2. Linear Function 1: y=x+8 Linear Function 2: (4,10) (2,6)
To compare the rate of change for the given linear functions, we can calculate the rate of change using the formula: (change in y) / (change in x).
For Linear Function 1: y = x + 8
The change in y for any change in x is always 1, since the coefficient of x is 1. Therefore, the rate of change for Linear Function 1 is 1.
For Linear Function 2: (4,10) (2,6)
The change in y is 6 - 10 = -4, and the change in x is 2 - 4 = -2. Therefore, the rate of change for Linear Function 2 is -4 / -2 = 2.
Comparing the rate of change for both functions, we see that Linear Function 2 has a greater rate of change than Linear Function 1.
So, we would enter 2 for Linear Function 2.
For Linear Function 1: y = x + 8
The change in y for any change in x is always 1, since the coefficient of x is 1. Therefore, the rate of change for Linear Function 1 is 1.
For Linear Function 2: (4,10) (2,6)
The change in y is 6 - 10 = -4, and the change in x is 2 - 4 = -2. Therefore, the rate of change for Linear Function 2 is -4 / -2 = 2.
Comparing the rate of change for both functions, we see that Linear Function 2 has a greater rate of change than Linear Function 1.
So, we would enter 2 for Linear Function 2.