Answer :
To determine how many weeks it will take for you to save enough money to buy the iguana, we need to set up an equation.
Here's how to construct the equation:
1. Current Money: You already have [tex]$13.
2. Weekly Savings: You plan to save $[/tex]7 every week.
3. Cost of the Iguana: The iguana costs [tex]$49.
To find out how many weeks, represented by \( w \), it will take to have enough money, you'll add the money you already have ($[/tex]13) to the money you'll save each week ([tex]$7 multiplied by the number of weeks, \( w \)).
The equation that represents this scenario is:
\[ 7w + 13 = 49 \]
Here’s a breakdown of the equation:
- \( 7w \) represents the total savings after \( w \) weeks.
- Adding the initial $[/tex]13 you have to the weekly savings gives you the expression [tex]\( 7w + 13 \)[/tex].
- This amount needs to equal the total cost of the iguana, which is $49.
Therefore, the correct equation to find the number of weeks ([tex]\( w \)[/tex]) is:
[tex]\[ 7w + 13 = 49 \][/tex]
This matches choice D.
Here's how to construct the equation:
1. Current Money: You already have [tex]$13.
2. Weekly Savings: You plan to save $[/tex]7 every week.
3. Cost of the Iguana: The iguana costs [tex]$49.
To find out how many weeks, represented by \( w \), it will take to have enough money, you'll add the money you already have ($[/tex]13) to the money you'll save each week ([tex]$7 multiplied by the number of weeks, \( w \)).
The equation that represents this scenario is:
\[ 7w + 13 = 49 \]
Here’s a breakdown of the equation:
- \( 7w \) represents the total savings after \( w \) weeks.
- Adding the initial $[/tex]13 you have to the weekly savings gives you the expression [tex]\( 7w + 13 \)[/tex].
- This amount needs to equal the total cost of the iguana, which is $49.
Therefore, the correct equation to find the number of weeks ([tex]\( w \)[/tex]) is:
[tex]\[ 7w + 13 = 49 \][/tex]
This matches choice D.
