Quinn had 32

to spend at the beginning of the week. The only purchases he made was the same variety of chips from the vending machine every day for 5
days. At the end of the week, Quinn had 23.80
.
Complete the following statements to determine how much each bag of chips cost.
The variable in this context can be defined as [DROP DOWN 1]. An equation that represents this context in function notation is [DROP DOWN 2]. The price for each bag of chips was [DROP DOWN 3].
DROP DOWN 1_____
DROP DOWN 2_____
DROP DOWN 3_____

1 answer

Let's break down the information provided to fill in the statements.

  1. Understanding the context:

    • Quinn started with $32.00.
    • He spent money over 5 days on chips.
    • At the end of the week, he had $23.80 left.
  2. Determine how much he spent:

    • Initial amount: $32.00
    • Amount left: $23.80
    • Amount spent = Initial amount - Amount left = $32.00 - $23.80 = $8.20
  3. Determine how much he spent on chips each day:

    • He purchased chips for 5 days, so the cost for each day = Total amount spent / Number of days
    • Cost per day = $8.20 / 5 = $1.64

Now we can fill in the drop-down statements:

DROP DOWN 1: Cost of chips per bag (this is the variable representing the cost per bag of chips) DROP DOWN 2: C(x) = 32 - 1.64x (where x represents the number of days, and 1.64 is the cost of chips per day) DROP DOWN 3: 1.64 (the cost of each bag of chips)

So the complete statements are:

  1. DROP DOWN 1: Cost of chips per bag
  2. DROP DOWN 2: C(x) = 32 - 1.64x
  3. DROP DOWN 3: 1.64