Answer :
Let's find out which equation can be used to determine the number of weeks it will take for Jakob to spend [tex]$84 on lunch. Here, Jakob buys lunch three times a week: on Mondays, Wednesdays, and Thursdays, and each lunch costs $[/tex]3.50. We want to know how many weeks ([tex]\(w\)[/tex]) it will take for him to spend a total of [tex]$84.
1. Calculate the weekly spending:
Jakob buys lunch three times a week (Monday, Wednesday, and Thursday). Each lunch costs $[/tex]3.50. So, the total amount he spends in one week on lunches is:
[tex]\[
\text{Weekly spending} = 3 \times 3.50 = 10.50
\][/tex]
2. Set up the equation:
We know that Jakob will spend a total of [tex]$84 over a certain number of weeks. We can use an equation to express this relationship. The total amount spent over \(w\) weeks is:
\[
(\text{Weekly spending}) \times w = 84
\]
Substituting the weekly spending:
\[
10.50 \times w = 84
\]
This simplifies to:
\[
(3 \times 3.50) \times w = 84
\]
So, the equation \((3)(3.50) w = 84\) fits the situation.
3. Conclusion:
The equation that can be used to find the number of weeks \(w\) it will take Jakob to spend $[/tex]84 on lunch is:
[tex]\[
(3)(3.50)w = 84
\][/tex]
Using this equation, we find that it will take Jakob 8 weeks to spend $84 on lunch.
1. Calculate the weekly spending:
Jakob buys lunch three times a week (Monday, Wednesday, and Thursday). Each lunch costs $[/tex]3.50. So, the total amount he spends in one week on lunches is:
[tex]\[
\text{Weekly spending} = 3 \times 3.50 = 10.50
\][/tex]
2. Set up the equation:
We know that Jakob will spend a total of [tex]$84 over a certain number of weeks. We can use an equation to express this relationship. The total amount spent over \(w\) weeks is:
\[
(\text{Weekly spending}) \times w = 84
\]
Substituting the weekly spending:
\[
10.50 \times w = 84
\]
This simplifies to:
\[
(3 \times 3.50) \times w = 84
\]
So, the equation \((3)(3.50) w = 84\) fits the situation.
3. Conclusion:
The equation that can be used to find the number of weeks \(w\) it will take Jakob to spend $[/tex]84 on lunch is:
[tex]\[
(3)(3.50)w = 84
\][/tex]
Using this equation, we find that it will take Jakob 8 weeks to spend $84 on lunch.
