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⋅(1/2)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

50
50

100
100

200
200

400

Answer 1

To find the initial number of weeds before Grant used the weed killer, we need to evaluate the function \( f(x) \) at \( x = 0 \).

The function is given by:

\[ f(x) = 100 \cdot \left(\frac{1}{2}\right)^x \]

Now, plug in \( x = 0 \):

\[ f(0) = 100 \cdot \left(\frac{1}{2}\right)^0 \]

Since \( \left(\frac{1}{2}\right)^0 = 1 \):

\[ f(0) = 100 \cdot 1 = 100 \]

Therefore, the number of weeds in the garden before Grant used the weed killer was 100.