Answer:
Amount of money remaining after t weeks.
[tex]B(t) = 300 - 50t[/tex]
Step-by-step explanation:
The equation that represents this situation is the budget remaining after t weeks. This equation can be modeled by the following first order equation.
[tex]B(t) = B_{0} - rt[/tex]
In which B(t) is your remaining money after t weeks, [tex]B_{0}[/tex] is the initial amount of money and r is how much money you spend each week.
In this problem, we have that:
You saved 300 to spend over summer. You decide to budget 50 to spend each week. This means that [tex]B_{0} = 300, r = 50[/tex]. So
[tex]B(t) = 300 - 50t[/tex]
