Question
Activity
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.
Space used (includes formatting): 0 / 30000
Part B
Write an expression that represents the net change in Rylee’s bank account balance after paying for fuel at the gas station.
Space used (includes formatting): 0 / 30000
Part C
Use decimal numbers to write an expression that represents the net change in Rylee’s bank account balance after paying for groceries.
Space used (includes formatting): 0 / 30000
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.
Space used (includes formatting): 0 / 30000
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.
Space used (includes formatting): 0 / 30000
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.
Space used (includes formatting): 0 / 30000
Part B
Write an expression that represents the net change in Rylee’s bank account balance after paying for fuel at the gas station.
Space used (includes formatting): 0 / 30000
Part C
Use decimal numbers to write an expression that represents the net change in Rylee’s bank account balance after paying for groceries.
Space used (includes formatting): 0 / 30000
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.
Space used (includes formatting): 0 / 30000
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.
Space used (includes formatting): 0 / 30000
Answers
GPT-4o mini
To help Rylee find the net change to her banking account balance after her purchases, let's break down each part step by step.
### Part A: Clothing Store
1. Rylee spent $36.50 on clothes.
2. The tax on her purchase is 8% of $36.50, which is calculated as follows:
\[
\text{Tax} = 0.08 \times 36.50 = 2.92
\]
3. The total spending at the clothing store is:
\[
36.50 + 2.92 = 39.42
\]
**Expression for Part A:**
\[
- (36.50 + 0.08 \times 36.50)
\]
or
\[
- 39.42
\]
### Part B: Gas Station
1. Rylee spent $25 to refuel her car.
**Expression for Part B:**
\[
- 25
\]
### Part C: Groceries
1. Rylee bought groceries worth $23.50.
2. She used a coupon for a 20% discount. First, we calculate the discount:
\[
\text{Discount} = 0.20 \times 23.50 = 4.70
\]
3. The total spending after the discount is:
\[
23.50 - 4.70 = 18.80
\]
**Expression for Part C:**
\[
- (23.50 - 0.20 \times 23.50)
\]
or
\[
- 18.80
\]
### Part D: Total Net Change
Now, we combine the expressions from Parts A, B, and C for the total net change:
\[
\text{Total Net Change} = -(36.50 + 0.08 \times 36.50) - 25 - (23.50 - 0.20 \times 23.50)
\]
Substituting in the total amounts:
\[
= -39.42 - 25 - 18.80
\]
### Part E: Simplification
Now we simplify the expression:
1. Combine the values:
\[
-39.42 - 25 - 18.80 = -83.22
\]
**Final Answer for Part E:**
\[
-83.22
\]
### Self-Evaluation
On a scale of 1 to 5, I would rate my work a 5. I clearly broke down the calculations for each of Rylee's purchases, ensured I included tax and discounts properly, and correctly simplified the total expenditure to find the net change in her account balance. I learned to carefully manage multiple transactions and perform the necessary calculations step by step, which is crucial in real-life budgeting and finance. The challenge was ensuring I accounted for the tax and discount correctly.
### Part A: Clothing Store
1. Rylee spent $36.50 on clothes.
2. The tax on her purchase is 8% of $36.50, which is calculated as follows:
\[
\text{Tax} = 0.08 \times 36.50 = 2.92
\]
3. The total spending at the clothing store is:
\[
36.50 + 2.92 = 39.42
\]
**Expression for Part A:**
\[
- (36.50 + 0.08 \times 36.50)
\]
or
\[
- 39.42
\]
### Part B: Gas Station
1. Rylee spent $25 to refuel her car.
**Expression for Part B:**
\[
- 25
\]
### Part C: Groceries
1. Rylee bought groceries worth $23.50.
2. She used a coupon for a 20% discount. First, we calculate the discount:
\[
\text{Discount} = 0.20 \times 23.50 = 4.70
\]
3. The total spending after the discount is:
\[
23.50 - 4.70 = 18.80
\]
**Expression for Part C:**
\[
- (23.50 - 0.20 \times 23.50)
\]
or
\[
- 18.80
\]
### Part D: Total Net Change
Now, we combine the expressions from Parts A, B, and C for the total net change:
\[
\text{Total Net Change} = -(36.50 + 0.08 \times 36.50) - 25 - (23.50 - 0.20 \times 23.50)
\]
Substituting in the total amounts:
\[
= -39.42 - 25 - 18.80
\]
### Part E: Simplification
Now we simplify the expression:
1. Combine the values:
\[
-39.42 - 25 - 18.80 = -83.22
\]
**Final Answer for Part E:**
\[
-83.22
\]
### Self-Evaluation
On a scale of 1 to 5, I would rate my work a 5. I clearly broke down the calculations for each of Rylee's purchases, ensured I included tax and discounts properly, and correctly simplified the total expenditure to find the net change in her account balance. I learned to carefully manage multiple transactions and perform the necessary calculations step by step, which is crucial in real-life budgeting and finance. The challenge was ensuring I accounted for the tax and discount correctly.