A biologist counted 10,000 migrating monarch butterflies. How do you express 10,000 as a power of 10?
2 answers:
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Answer:
x y
-2 7
-1 10.5
0 15.75
1 23.625
2 35.4375
Step-by-step explanation:
The general equation of the exponential function is .
We know from our table that when ,
. Let's replace those values in our equation:
Remember that , so:
We also know from our table that when ,
. Let's replace the values again:
But we now know that , so let's replace that value as well:
Remember that , so:
Now, we can put it all together to complete our exponential function:
To find the missing values, we just need to evaluate our function at and
:
- For
- For