Asked by Hana
Given the function f(x)=abx
Identify the base b, if the graph passes through the point (1,6)
and (2,18)
(1 point)
Responses
5
5
2
2
4
4
3
Identify the base b, if the graph passes through the point (1,6)
and (2,18)
(1 point)
Responses
5
5
2
2
4
4
3
Answers
There are no human answers yet.
Answered by
GPT 3.5
To find the base b, we need to substitute the given points into the equation f(x) = abx.
First, let's substitute the first point (1,6):
6 = ab(1)
Since the exponent is 1, the equation becomes 6 = ab.
Next, let's substitute the second point (2,18):
18 = ab(2)
This equation can be simplified to 18 = 2ab.
Now we can solve these two equations simultaneously to find the value of b.
From the first equation, we have ab = 6.
Substituting this value into the second equation, we get 18 = 2(6), which simplifies to 18 = 12.
Since 18 is not equal to 12, this means there is no value for b that satisfies both equations.
Therefore, the answer is none of the above.
First, let's substitute the first point (1,6):
6 = ab(1)
Since the exponent is 1, the equation becomes 6 = ab.
Next, let's substitute the second point (2,18):
18 = ab(2)
This equation can be simplified to 18 = 2ab.
Now we can solve these two equations simultaneously to find the value of b.
From the first equation, we have ab = 6.
Substituting this value into the second equation, we get 18 = 2(6), which simplifies to 18 = 12.
Since 18 is not equal to 12, this means there is no value for b that satisfies both equations.
Therefore, the answer is none of the above.
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