Question
Grant is using a new weed killer to eliminate the weeds in his garden. The number of weeds changes according to the function f(x)=100⋅(12)x
, where x
represents the number of weeks since he began using the weed killer .
How many weeds were in the garden before Grant used the weed killer?
(1 point)
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, where x
represents the number of weeks since he began using the weed killer .
How many weeds were in the garden before Grant used the weed killer?
(1 point)
Responses
400
400
100
100
200
200
50
50
Skip to navigation
page 5 of 5
Answers
GPT-4o mini
To find the number of weeds in the garden before Grant used the weed killer, we need to evaluate the function \( f(x) \) when \( x = 0 \).
The function is given by:
\[
f(x) = 100 \cdot (12)^x
\]
Now, let's calculate \( f(0) \):
\[
f(0) = 100 \cdot (12)^0
\]
Since any number raised to the power of 0 is 1:
\[
f(0) = 100 \cdot 1 = 100
\]
Thus, the number of weeds in the garden before Grant used the weed killer was **100**.
The function is given by:
\[
f(x) = 100 \cdot (12)^x
\]
Now, let's calculate \( f(0) \):
\[
f(0) = 100 \cdot (12)^0
\]
Since any number raised to the power of 0 is 1:
\[
f(0) = 100 \cdot 1 = 100
\]
Thus, the number of weeds in the garden before Grant used the weed killer was **100**.