Activity

Question

Rylee shopped at a clothing store, where she spent $36.50 plus 8% tax. Then, she spent $25 to refuel her car at the gas station. Finally, she bought groceries worth $23.50. At the grocery checkout, she handed over a coupon for a 20% discount on her purchase.

Complete the following steps to help Rylee find the net change to her banking account balance.

Part A
Use decimal numbers to write an expression that represents the net change in Rylee’s bank account balance after paying for her purchase at the clothing store.

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Part B
Write an expression that represents the net change in Rylee’s bank account balance after paying for fuel at the gas station.

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Part C
Use decimal numbers to write an expression that represents the net change in Rylee’s bank account balance after paying for groceries.

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Part D
Finally, use decimal numbers to write an expression that represents the net change in Rylee’s bank account balance for her entire shopping trip. Use your answers from parts A through C to guide you.

Space used (includes formatting): 0 / 30000
Part E
Simplify the expression in part D to find the net change in Rylee’s bank account balance. Express your answer as a decimal number.

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Submitted!
Hide Sample Answer
(-36.5)(1.08) + (-25) + (-23.5)(0.8) = -$83.22

Self-Evaluation
How did you do? Rate your work on a scale of 1 to 5, with 5 as the highest score. Then write a brief evaluation of your work below. Note what you learned and what challenged you.

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Answer 1

Let's go through each part step by step to help Rylee find the net change to her banking account balance:

Part A: Clothing Store Purchase Rylee spent $36.50 at the clothing store and also had to pay 8% tax on this amount.

1. Calculate the tax:
   \[ \text{Tax} = 36.50 \times 0.08 = 2.92 \]

2. Calculate the total spent at the clothing store:
   \[ \text{Total} = 36.50 + 2.92 = 39.42 \]

Thus, the expression to represent the net change in Rylee’s bank account balance after paying for her purchase at the clothing store is:
Expression:
\[-39.42\]

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Part B: Fuel Purchase Rylee spent $25 to refuel her car at the gas station.

The expression for the net change in Rylee's bank account balance after paying for fuel is:
Expression:
\[-25\]

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Part C: Grocery Purchase Rylee bought groceries for $23.50 and used a 20% discount coupon.

1. Calculate the discount:
   \[ \text{Discount} = 23.50 \times 0.20 = 4.70 \]

2. Calculate the total spent on groceries after applying the discount:
   \[ \text{Total} = 23.50 - 4.70 = 18.80 \]

Thus, the expression for the net change in Rylee's bank account balance after paying for groceries is:
Expression:
\[-18.80\]

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Part D: Total Net Change Now, we combine the results from parts A, B, and C to find the total net change in Rylee's bank account balance:

\[ (-39.42) + (-25) + (-18.80) \]

So, the expression that represents the net change in Rylee’s bank account balance for her entire shopping trip is:
Expression:
\[-39.42 - 25 - 18.80\]

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Part E: Simplifying the Expression Now we simplify the expression: \[ -39.42 - 25 = -64.42 \] Then, \[ -64.42 - 18.80 = -83.22 \]

Therefore, the net change in Rylee's bank account balance is:
Answer:
\[-83.22\]

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Self-Evaluation On a scale of 1 to 5, I would rate my work a 5. I learned how to systematically break down each part of a shopping trip to find the net change in bank balance. The challenge was ensuring accuracy in tax and discount calculations, which are important in real-life scenarios as well.