Sabrina is making candy treat bags. The number of pieces of candy she has remaining is represented by the function c(x)=−3x+381

Question

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 \( (127, 0) \).