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

Amount of money remaining after t weeks.

`B(t) = 300 - 50t`

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`