Your parents gave you $314

to spend on a weeklong school trip. You have budgeted $25
per day for snacks and souveniors.

Complete the equations to represent the situation, where y is the amount of spending money you have left in your budget and x is the number of days you have been on the trip.

(2 points)
y =
x +

1 answer

To represent the situation with an equation, we can start by noting that you have a total of $314 to spend, and you are spending $25 per day (which indicates a daily expense).

The amount of money you have left after x days can be calculated as follows:

  1. You start with $314.
  2. After x days, you will have spent \(25 \times x\) dollars.

Therefore, the amount of spending money left after x days can be expressed with the following equation:

\[ y = 314 - 25x \]

Now, we can fill in the equation format you have given:

y = 314 - 25x

So, to complete the equation in the format you provided:

y = -25x + 314

Where:

  • y represents the amount of spending money you have left,
  • -25x represents the total amount spent after x days,
  • 314 represents the total amount you started with.