Question
One point negative one, 10 another 0.1, 3.6 what equation is shown in the graph y = 6 * 0.6 X y = 6 * 3.6 XY = 10 * 1.05 XY = 6 * 0.6 X
Answers
GPT-4o mini
To determine which equation corresponds to the points \( (-1, 10) \) and \( (0.1, 3.6) \), we can analyze the equations provided.
The equations given are:
1. \( y = 6 \times 0.6x \)
2. \( y = 6 \times 3.6 \)
3. \( xy = 10 \times 1.05 \)
4. \( xy = 6 \times 0.6x \)
Let's break down what each equation signifies.
1. **Equation 1**: \( y = 6 \times 0.6x \) simplifies to \( y = 3.6x \). This represents a linear function with a slope of 3.6. Plugging in the points:
- For \( x = -1 \): \( y = 3.6 \times (-1) = -3.6 \) (not \( 10 \))
- For \( x = 0.1 \): \( y = 3.6 \times 0.1 = 0.36 \) (not \( 3.6 \))
2. **Equation 2**: \( y = 6 \times 3.6 \) results in \( y = 21.6 \). This is a constant function, which doesn't match either point.
3. **Equation 3**: \( xy = 10 \times 1.05 \) simplifies to \( xy = 10.5 \). If we demonstrate it for both points:
- For \( (-1, 10) \): \( (-1) \times 10 = -10 \) (not \( 10.5 \))
- For \( (0.1, 3.6) \): \( 0.1 \times 3.6 = 0.36 \) (not \( 10.5 \))
4. **Equation 4**: \( xy = 6 \times 0.6x \) simplifies to \( xy = 3.6x \). We can express \( y = \frac{3.6x}{x} \) which gives \( y = 3.6 \) when \( x \neq 0 \).
- For \( (-1, 10) \): \( -1 \times 10 = -10 \) (not \( 0 \))
- For \( (0.1, 3.6) \): \( 0.1y = 3.6x \) does not satisfy \( x = \frac{3.6}{0.1} = 36 \) (not \( 0.1 \))
It looks like none of the equations properly fit the two points you provided. Please double-check the points or the equations; there might be a mistake or miscommunication in the original information provided.
The equations given are:
1. \( y = 6 \times 0.6x \)
2. \( y = 6 \times 3.6 \)
3. \( xy = 10 \times 1.05 \)
4. \( xy = 6 \times 0.6x \)
Let's break down what each equation signifies.
1. **Equation 1**: \( y = 6 \times 0.6x \) simplifies to \( y = 3.6x \). This represents a linear function with a slope of 3.6. Plugging in the points:
- For \( x = -1 \): \( y = 3.6 \times (-1) = -3.6 \) (not \( 10 \))
- For \( x = 0.1 \): \( y = 3.6 \times 0.1 = 0.36 \) (not \( 3.6 \))
2. **Equation 2**: \( y = 6 \times 3.6 \) results in \( y = 21.6 \). This is a constant function, which doesn't match either point.
3. **Equation 3**: \( xy = 10 \times 1.05 \) simplifies to \( xy = 10.5 \). If we demonstrate it for both points:
- For \( (-1, 10) \): \( (-1) \times 10 = -10 \) (not \( 10.5 \))
- For \( (0.1, 3.6) \): \( 0.1 \times 3.6 = 0.36 \) (not \( 10.5 \))
4. **Equation 4**: \( xy = 6 \times 0.6x \) simplifies to \( xy = 3.6x \). We can express \( y = \frac{3.6x}{x} \) which gives \( y = 3.6 \) when \( x \neq 0 \).
- For \( (-1, 10) \): \( -1 \times 10 = -10 \) (not \( 0 \))
- For \( (0.1, 3.6) \): \( 0.1y = 3.6x \) does not satisfy \( x = \frac{3.6}{0.1} = 36 \) (not \( 0.1 \))
It looks like none of the equations properly fit the two points you provided. Please double-check the points or the equations; there might be a mistake or miscommunication in the original information provided.