Answer:
Table C
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or 
Find the value of the constant of proportionality in each table
Table A
For
------>
For
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This table has different values of k
therefore
the table A does not represent a proportional relationship
Table B
For
------>
For
------>
For
------>
This table has different values of k
therefore
the table B does not represent a proportional relationship
Table C
For
------>
For
------>
For
------>
For
------>
This table has the same value of k
therefore
the table C represent a proportional relationship
Table D
For
------>
For
------>
For
------>
For
------>
This table has different values of k
therefore
the table D does not represent a proportional relationship
Answer:
The average rate of change is -3.
Step-by-step explanation:
Given : Function
over the interval 2 ≤ x ≤ 4.
To find : What is the average rate of change ?
Solution :
Function
over [2,4]
The rate of change is the slope of the line,
So, 






Substitute,



Therefore, The average rate of change is -3.
Answer:
Step-by-step explanation:
nth term = a +(n-1)d
a3 = 116 ; a + 2d = 116 ---------(i)
a7 = 180; a + 6d = 180 -------(ii)
multiply (ii) by -1. so a will be eliminated
a + 2d = 116 ---------(i)
(ii)*-1 <u>-a - 6d = -180</u> -------(ii) { Now add the two equations}
- 4d = -64
d = -64/-4
d = 16
Plug in the value of d in equation (i),
a + 2*16 = 116
a + 32 = 116
a = 116 - 32
a = 84
12th term = 84 + 11* 16 = 84 + 176 = 260
1/6 = 0.1666, the last number repeating to infinity, or a repeating decimal.
Hope helps!-Aparri