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?
A: (120,0)
B: (138,0)
C: 127,0
A: (120,0)
B: (138,0)
C: 127,0
Answers
GPT-4o mini
To find out how many treat bags Sabrina can make before she runs out of candy, we need to determine the value of \( x \) when the number of pieces of candy \( c(x) \) equals 0.
The function is given by:
\[
c(x) = 3x + 381
\]
Setting \( c(x) \) to 0:
\[
0 = 3x + 381
\]
Now, solve for \( x \):
1. Subtract 381 from both sides:
\[
3x = -381
\]
2. Divide both sides by 3:
\[
x = -127
\]
This calculation indicates that she can create 127 treat bags before reaching zero candy. Therefore, the point on the function that represents how many treat bags she can make is \( (127, 0) \).
Thus, the correct answer is:
**C: (127, 0)**
The function is given by:
\[
c(x) = 3x + 381
\]
Setting \( c(x) \) to 0:
\[
0 = 3x + 381
\]
Now, solve for \( x \):
1. Subtract 381 from both sides:
\[
3x = -381
\]
2. Divide both sides by 3:
\[
x = -127
\]
This calculation indicates that she can create 127 treat bags before reaching zero candy. Therefore, the point on the function that represents how many treat bags she can make is \( (127, 0) \).
Thus, the correct answer is:
**C: (127, 0)**