The table below represents Function B.
-3,-9
-1,5
1,-1
3,3
In comparing the rates of change, which statement about Function A and Function B is true?
A.
Function A and Function B have the same rate of change.
B.
Function A has a greater rate of change than Function B has.
C.
Function A and Function B both have negative rates of change.
D.
Function A has a negative rate of change and Function B has a positive rate of change.
Answer:
Step-by-step explanation:
The value of y is two less than four times the value of x.
This statement can be expressed as
This linear function is expressed as slope-intercept form. Where the slope is
This function is represented by the given table.
If you observe, the domain is defined as -3, -1, 1, 3. The range is defined as -9, -5, -1, 3.
The domain values increase two units. Range values increase by 4. So, the ratio or slope of this function is
If we compare the ratio of change (or slopes) of both function, we would find that Function A as a doble ratio of change than Function B. In other words, Function A has a greater rate of change than Function B.
Therefore, the right answer is B.
The given equations are simultaneous equations. We need to find the values of 'a' and 'b'. To do so, we convert the ratio into equation and substitute into the original equation. Then solving will give 'a = 12' and 'b = 18'.
In this question, we are given two simultaneous equations to solve for the unknowns 'a' and 'b'. The given equations are 'a + b = 30' and the ratio 'a:b' is equivalent to '2:3'.
Since the ratio 'a:b' is equal to '2:3', we can consider 'a' to be '2x' and 'b' to be '3x'. Substituting this into the first equation, we get '2x + 3x = 30', which simplifies to '5x = 30'. Solving for 'x', we find that 'x = 6'.
Substituting 'x = 6' into the expressions for 'a' and 'b', we find that 'a = 2*6 = 12' and 'b = 3*6 = 18'. Therefore, the solutions to the equations are 'a = 12' and 'b = 18'.
#SPJ11
there are 36 possible outcomes
Variable Y: 63 100 88 30 36 17 47 72 52
A. Negative linear association
B. Negative non linear association
C. Positive linear association
D. Positive non linear association
I think it could be B..not sure though. Please help!