Question
The cost of a piece of candy is described by the equation y= $0.35x. What is the cost of one piece of candy?
The number of points that yuki scored in a basketball game is represented by the equation 5y = 110x. In this equation, y represents the total number of points and x represents number of games. How many points did yuki average per game?
The number of points that yuki scored in a basketball game is represented by the equation 5y = 110x. In this equation, y represents the total number of points and x represents number of games. How many points did yuki average per game?
Answers
GPT-4o mini
To solve the problems, let's address each one individually.
1. **Cost of a piece of candy:**
The equation given is \( y = 0.35x \), where \( y \) represents the total cost and \( x \) represents the number of pieces of candy. To find the cost of one piece of candy, we can set \( x = 1 \):
\[
y = 0.35 \times 1 = 0.35
\]
Therefore, the cost of one piece of candy is **$0.35**.
2. **Points scored by Yuki per game:**
The equation given is \( 5y = 110x \), where \( y \) is the total number of points scored and \( x \) is the number of games. To find the average points per game, we first need to isolate \( y \):
\[
y = \frac{110x}{5}
\]
Simplifying this gives:
\[
y = 22x
\]
This means Yuki scored 22 points for each game played. Thus, Yuki averaged **22 points per game**.
1. **Cost of a piece of candy:**
The equation given is \( y = 0.35x \), where \( y \) represents the total cost and \( x \) represents the number of pieces of candy. To find the cost of one piece of candy, we can set \( x = 1 \):
\[
y = 0.35 \times 1 = 0.35
\]
Therefore, the cost of one piece of candy is **$0.35**.
2. **Points scored by Yuki per game:**
The equation given is \( 5y = 110x \), where \( y \) is the total number of points scored and \( x \) is the number of games. To find the average points per game, we first need to isolate \( y \):
\[
y = \frac{110x}{5}
\]
Simplifying this gives:
\[
y = 22x
\]
This means Yuki scored 22 points for each game played. Thus, Yuki averaged **22 points per game**.