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Answer :
To find out how many weeks it will take to save enough money to buy the pet iguana, we need to set up an equation based on the given information. Here's how you can do it step-by-step:
1. Understand the Problem:
- The iguana costs [tex]$57.
- You already have $[/tex]13 saved.
- You plan to save [tex]$8 each week.
2. Set Up the Equation:
- You start with $[/tex]13 and add [tex]$8 for each week you save.
- We want this total amount to equal the cost of the iguana, which is $[/tex]57.
3. Write the Equation:
- The total money saved after w weeks can be expressed as:
[tex]\[
13 + 8w = 57
\][/tex]
- Here, [tex]\(8w\)[/tex] represents the amount of money saved after w weeks, and 13 is the money you already have.
4. Simplify the Equation:
- Subtract the initial savings of [tex]$13 from both sides to isolate the term with \(w\):
\[
8w = 57 - 13
\]
- This simplifies to:
\[
8w = 44
\]
5. Solve for \(w\):
- Divide both sides by 8 to solve for w:
\[
w = \frac{44}{8}
\]
- This divides out to:
\[
w = 5.5
\]
So, it will take 5.5 weeks to save enough money to buy the iguana. This implies you'll need to save for 6 full weeks to ensure you have at least $[/tex]57, since you can't save for a fraction of a week practically. The correct equation from the given options is [tex]\(8w + 13 = 57\)[/tex], which matches with the steps above once rearranged.
1. Understand the Problem:
- The iguana costs [tex]$57.
- You already have $[/tex]13 saved.
- You plan to save [tex]$8 each week.
2. Set Up the Equation:
- You start with $[/tex]13 and add [tex]$8 for each week you save.
- We want this total amount to equal the cost of the iguana, which is $[/tex]57.
3. Write the Equation:
- The total money saved after w weeks can be expressed as:
[tex]\[
13 + 8w = 57
\][/tex]
- Here, [tex]\(8w\)[/tex] represents the amount of money saved after w weeks, and 13 is the money you already have.
4. Simplify the Equation:
- Subtract the initial savings of [tex]$13 from both sides to isolate the term with \(w\):
\[
8w = 57 - 13
\]
- This simplifies to:
\[
8w = 44
\]
5. Solve for \(w\):
- Divide both sides by 8 to solve for w:
\[
w = \frac{44}{8}
\]
- This divides out to:
\[
w = 5.5
\]
So, it will take 5.5 weeks to save enough money to buy the iguana. This implies you'll need to save for 6 full weeks to ensure you have at least $[/tex]57, since you can't save for a fraction of a week practically. The correct equation from the given options is [tex]\(8w + 13 = 57\)[/tex], which matches with the steps above once rearranged.
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