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Answer :
To find out how many weeks, [tex]\( w \)[/tex], it will take Jakob to spend \[tex]$84 on lunch, we need to set up an equation based on the information given.
1. Determine Lunch Frequency and Cost:
- Jakob buys lunch three times a week, on Mondays, Wednesdays, and Thursdays.
- Each lunch costs \$[/tex]3.50.
2. Calculate Weekly Lunch Cost:
- In one week, Jakob's total spending on lunch is calculated by multiplying the number of lunches per week by the cost of each lunch:
[tex]\[
\text{Weekly Lunch Cost} = 3 \times 3.50
\][/tex]
3. Set Up the Equation:
- We want to find the number of weeks [tex]\( w \)[/tex] it will take for Jakob to reach a total spending of \[tex]$84. Therefore, we set up the equation:
\[
(3 \times 3.50) \times w = 84
\]
- Here, \((3 \times 3.50) w\) represents the total amount spent after \( w \) weeks.
4. Identify the Correct Equation:
- From the options given, \((3 \times 3.50) w = 84\) is the correct equation that represents the problem scenario. This choice correctly accounts for the number of lunches per week and the cost per lunch multiplied by the number of weeks.
This equation allows you to solve for \( w \) to determine how many weeks it takes to spend a total of \$[/tex]84 on lunches.
1. Determine Lunch Frequency and Cost:
- Jakob buys lunch three times a week, on Mondays, Wednesdays, and Thursdays.
- Each lunch costs \$[/tex]3.50.
2. Calculate Weekly Lunch Cost:
- In one week, Jakob's total spending on lunch is calculated by multiplying the number of lunches per week by the cost of each lunch:
[tex]\[
\text{Weekly Lunch Cost} = 3 \times 3.50
\][/tex]
3. Set Up the Equation:
- We want to find the number of weeks [tex]\( w \)[/tex] it will take for Jakob to reach a total spending of \[tex]$84. Therefore, we set up the equation:
\[
(3 \times 3.50) \times w = 84
\]
- Here, \((3 \times 3.50) w\) represents the total amount spent after \( w \) weeks.
4. Identify the Correct Equation:
- From the options given, \((3 \times 3.50) w = 84\) is the correct equation that represents the problem scenario. This choice correctly accounts for the number of lunches per week and the cost per lunch multiplied by the number of weeks.
This equation allows you to solve for \( w \) to determine how many weeks it takes to spend a total of \$[/tex]84 on lunches.
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