Question

Sabrina is making candy treat bags. The number of pieces of candy she has remaining is represented by the function c(x)=−3x+381
c
(
x
)
=
−
3
x
+
381
, where x is the number of treat bags she makes. What point on the function represents how many treat bags she can make before she runs out of candy?(1 point)
(
, 0)

Answer 1

To determine how many treat bags Sabrina can make before she runs out of candy, we need to find the x-value when the number of pieces of candy remaining \( c(x) \) equals 0. This means solving the equation:

\[
c(x) = -3x + 381 = 0
\]

1. **Set the equation to zero**:

\[
-3x + 381 = 0
\]

2. **Add 3x to both sides**:

\[
381 = 3x
\]

3. **Divide both sides by 3**:

\[
x = \frac{381}{3}
\]

4. **Calculate \( x \)**:

\[
x = 127
\]

So, Sabrina can make 127 treat bags before she runs out of candy. The point on the function that represents this is \( (127, 0) \).