If z varies directly as x and z=30 when x=8 find z when x=4
1 answer:
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Let 
be any integer. Then
In other words:
(1) If is a multiple of 4, then 
.
(2) If dividing by 4 leaves a remainder of 1, then 
, since 
for some integer 
, and from (1) we know that 
(because, obviously, 
is a multiple of 4).
(3) If instead you get a remainder of 2, then
. This follows from (1) as well. 
.
(4) Finally, if you get a remainder of 3, then
.
In other words:
(1) If
(2) If dividing
(3) If instead you get a remainder of 2, then
(4) Finally, if you get a remainder of 3, then
Answer:
The correct option is B.
Step-by-step explanation:
A function is called an exponential function if it has common ratio.
A function is called an linear function if it has common difference.
In option A.
Since the given table has different ratio, therefore it is not an exponential function. Option A is incorrect.
In option B.
Since the given table has common ratio, therefore it is an exponential function. Option B is correct.
In option C.
Since the given table has different ratio, therefore it is not an exponential function. Option C is incorrect.
In option D.
Since the given table has different ratio, therefore it is not an exponential function. Option D is incorrect.