Jakob buys lunch at school on Mondays, Wednesdays, and Thursdays. He spends [tex]\$3.50[/tex] for each lunch. Which equation can be used to find the number of weeks, [tex]w[/tex], it will take Jakob to spend [tex]\$84[/tex] on lunch?

A. [tex]3.50w = 84[/tex]
B. [tex](3 \times 3.50)w = 84[/tex]
C. [tex]3w = 84[/tex]
D. [tex](3 + 3.50)w = 84[/tex]

To solve the problem of finding the number of weeks, [tex]$ w $[/tex], it will take Jakob to spend [tex]$ \$84 $[/tex] on lunch, we need to consider how much he spends per week.

Jakob buys lunch on three days a week: Monday, Wednesday, and Thursday. Each lunch costs [tex]$ \$3.50 $[/tex]. So, the total cost for lunches each week is calculated by multiplying the number of days he buys lunch by the cost per lunch:

[tex]\[
\text{Total weekly cost} = 3 \times 3.50
\][/tex]

Calculate the total weekly cost:

[tex]\[
3 \times 3.50 = 10.50
\][/tex]

Jakob spends [tex]$ \$10.50 $[/tex] each week on lunch.

Now, we need to find the number of weeks, [tex]$ w $[/tex], it will take for him to spend [tex]$ \$84 $[/tex]. Set up the equation with the total amount spent over [tex]$ w $[/tex] weeks:

[tex]\[
10.50w = 84
\][/tex]

To find [tex]$ w $[/tex], solve the equation by dividing both sides by [tex]$ 10.50 $[/tex]:

[tex]\[
w = \frac{84}{10.50}
\][/tex]

Now calculate:

[tex]\[
w = 8
\][/tex]

So, it will take Jakob 8 weeks to spend [tex]$ \$84 $[/tex] on lunch.

The correct equation from the options provided that represents this situation is:

[tex]\[
(3 \times 3.50)w = 84
\][/tex]