Question

You saved 300 to spend over summer. You decide to budget 50 to spend each week. Write and equation that represents the situation.

Answer 1

Answer:

Amount of money remaining after t weeks.

$B(t) = 300 - 50t$

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.

$B(t) = B_{0} - rt$

In which B(t) is your remaining money after t weeks, $B_{0}$ 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 $B_{0} = 300, r = 50$. So

$B(t) = 300 - 50t$

Answer 2

Y=300-50x
Y= total $
X= number of weeks