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
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.
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
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.
Space used (includes formatting): 0 / 30000
Answers
GPT-4o mini
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:**
\[-39.42\]
---
**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:**
\[-25\]
---
**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:**
\[-18.80\]
---
**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:**
\[-39.42 - 25 - 18.80\]
---
**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:**
\[-83.22\]
---
**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.
**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:**
\[-39.42\]
---
**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:**
\[-25\]
---
**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:**
\[-18.80\]
---
**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:**
\[-39.42 - 25 - 18.80\]
---
**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:**
\[-83.22\]
---
**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.