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

Question

, 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
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Answer 1

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.