Answer :
Let's work through this step-by-step!
Fernando wants to buy a bike that costs [tex]$215. He already has $[/tex]148.50 saved and saves an additional [tex]$9.50 every week.
Part A:
We need to find an equation that helps us calculate how many weeks it will take Fernando to have enough money for the bike.
1. Identify Known Values:
- Total cost of the bike: $[/tex]215
- Amount already saved: [tex]$148.50
- Weekly savings: $[/tex]9.50
2. Set Up the Equation:
- We start with the amount already saved, which is [tex]$148.50.
- Every week, Fernando adds $[/tex]9.50 to his savings.
- Let [tex]\( w \)[/tex] represent the number of weeks he saves this extra amount.
- After [tex]\( w \)[/tex] weeks, the equation that describes his total savings will be:
[tex]\[
148.50 + 9.50 \times w = 215
\][/tex]
3. Choose the Correct Option:
- This equation matches option C: [tex]\( 148.50 + 9.5 \times w = 215 \)[/tex].
Therefore, the correct equation is option C) [tex]\( 148.50 + 9.5 \times w = 215 \)[/tex].
In this equation, [tex]\( w \)[/tex] is the number of weeks needed for Fernando to reach or exceed the total $215. If you further solve for [tex]\( w \)[/tex], replacing the variables with their values ensures the total savings equals or surpasses the bike's price.
Fernando wants to buy a bike that costs [tex]$215. He already has $[/tex]148.50 saved and saves an additional [tex]$9.50 every week.
Part A:
We need to find an equation that helps us calculate how many weeks it will take Fernando to have enough money for the bike.
1. Identify Known Values:
- Total cost of the bike: $[/tex]215
- Amount already saved: [tex]$148.50
- Weekly savings: $[/tex]9.50
2. Set Up the Equation:
- We start with the amount already saved, which is [tex]$148.50.
- Every week, Fernando adds $[/tex]9.50 to his savings.
- Let [tex]\( w \)[/tex] represent the number of weeks he saves this extra amount.
- After [tex]\( w \)[/tex] weeks, the equation that describes his total savings will be:
[tex]\[
148.50 + 9.50 \times w = 215
\][/tex]
3. Choose the Correct Option:
- This equation matches option C: [tex]\( 148.50 + 9.5 \times w = 215 \)[/tex].
Therefore, the correct equation is option C) [tex]\( 148.50 + 9.5 \times w = 215 \)[/tex].
In this equation, [tex]\( w \)[/tex] is the number of weeks needed for Fernando to reach or exceed the total $215. If you further solve for [tex]\( w \)[/tex], replacing the variables with their values ensures the total savings equals or surpasses the bike's price.
