Answer :
Let's transform the provided table into an easier-to-read format and then solve the example problem presented, ensuring clarity and step-by-step details.
### Simplified Version of the Provided Table
| Condition | Orbit Number Planet One | Orbit Number Planet Two | Orbit Number Planet Three | Orbit Number Planet Four | Number of planets in the habitable zone | Number of planets left in successful orbit |
|---------------|-----------------------------|-----------------------------|-------------------------------|------------------------------|--------------------------------------------|----------------------------------------------|
| Example: sun's mass [tex]$1x$[/tex] | 1 | 3 | 5 | 6 | 1 | 2 |
| sun's mass [tex]$1x$[/tex] - Trial One | | | | | | |
| sun's mass [tex]$1x$[/tex] - Trial Two | | | | | | |
| sun's mass [tex]$2x$[/tex] - Trial One | | | | | | |
| sun's mass [tex]$2x$[/tex] - Trial Two | | | | | | |
| sun's mass [tex]$3x$[/tex] - Trial One | | | | | | |
| sun's mass [tex]$3x$[/tex] - Trial Two | | | | | | |
Now, let's proceed to solve the given example.
### Example Explanation:
Given:
- Initial amount of money: \$23
- Number of bagels to buy: 5
- Cost per bagel: \$3
### Step-by-Step Solution
1. Determine Total Cost of Bagels:
- Each bagel costs \$3.
- Buying 5 bagels means spending:
[tex]\[ \text{Total cost of bagels} = 5 \, \text{bagels} \times 3 \, \text{\[tex]$/bagel} = 15 \, \text{\$[/tex]}
\][/tex]
2. Calculate Money Left:
- Initial amount of money is \$23.
- The amount spent on bagels is \( \$15 \).
[tex]\[ \text{Money left} = 23 \, \text{\[tex]$} - 15 \, \text{\$[/tex]} = 8 \, \text{\$}
\][/tex]
Thus, by purchasing 5 bagels at \$3 each:
- You will spend a total of \$15.
- The remaining amount of money will be \$8.
### Results:
- Money spent on bagels: \$15
- Money left: \$8
### Simplified Version of the Provided Table
| Condition | Orbit Number Planet One | Orbit Number Planet Two | Orbit Number Planet Three | Orbit Number Planet Four | Number of planets in the habitable zone | Number of planets left in successful orbit |
|---------------|-----------------------------|-----------------------------|-------------------------------|------------------------------|--------------------------------------------|----------------------------------------------|
| Example: sun's mass [tex]$1x$[/tex] | 1 | 3 | 5 | 6 | 1 | 2 |
| sun's mass [tex]$1x$[/tex] - Trial One | | | | | | |
| sun's mass [tex]$1x$[/tex] - Trial Two | | | | | | |
| sun's mass [tex]$2x$[/tex] - Trial One | | | | | | |
| sun's mass [tex]$2x$[/tex] - Trial Two | | | | | | |
| sun's mass [tex]$3x$[/tex] - Trial One | | | | | | |
| sun's mass [tex]$3x$[/tex] - Trial Two | | | | | | |
Now, let's proceed to solve the given example.
### Example Explanation:
Given:
- Initial amount of money: \$23
- Number of bagels to buy: 5
- Cost per bagel: \$3
### Step-by-Step Solution
1. Determine Total Cost of Bagels:
- Each bagel costs \$3.
- Buying 5 bagels means spending:
[tex]\[ \text{Total cost of bagels} = 5 \, \text{bagels} \times 3 \, \text{\[tex]$/bagel} = 15 \, \text{\$[/tex]}
\][/tex]
2. Calculate Money Left:
- Initial amount of money is \$23.
- The amount spent on bagels is \( \$15 \).
[tex]\[ \text{Money left} = 23 \, \text{\[tex]$} - 15 \, \text{\$[/tex]} = 8 \, \text{\$}
\][/tex]
Thus, by purchasing 5 bagels at \$3 each:
- You will spend a total of \$15.
- The remaining amount of money will be \$8.
### Results:
- Money spent on bagels: \$15
- Money left: \$8