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
, 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 find the point on the function \( c(x) = -3x + 381 \) that represents how many treat bags Sabrina can make before she runs out of candy, we need to determine when the number of pieces of candy, \( c(x) \), reaches 0. This means we need to solve the equation:

\[
c(x) = 0
\]

Setting the function equal to zero:

\[
-3x + 381 = 0
\]

Now, solve for \( x \):

1. Add \( 3x \) to both sides:

\[
381 = 3x
\]

2. Divide both sides by 3:

\[
x = \frac{381}{3} = 127
\]

Now we know that Sabrina can make 127 treat bags before she runs out of candy. The point on the function corresponding to this is \( (127, 0) \).

Thus, the answer is:

\[
(127, 0)
\]