Leila is buying a dinosaur model. The price of the model is 
\[x\] dollars, and she also has to pay a 
\[7\%\] tax.
Which of the following expressions could represent how much Leila pays in total for the model?
Choose 2 answers:
Choose 2 answers:
(Choice A)   
 
\[\dfrac{107}{100}x\]
A
 
\[\dfrac{107}{100}x\]
(Choice B)   
\[0.7x+x\]
B
\[0.7x+x\]
(Choice C)   
\[1.07x\]
C
\[1.07x\]
(Choice D)   
 
\[x+\dfrac{7}{10}x\]
D
 
\[x+\dfrac{7}{10}x\]

To determine how much Leila pays in total for the model, we need to consider the base price of the model, \( x \), and add a 7% tax to it.

### Step-by-Step Breakdown:
1. **Price of the model**: \( x \) dollars.
2. **Tax**: She needs to pay an additional 7% of the model's price, which is \( 0.07x \).

Thus, the total price Leila pays is:
\[
x + 0.07x = 1.07x
\]

This shows that the total price is \( 1.07x \), which can also be written as \( \dfrac{107}{100}x \).

### Evaluating the Choices:

- **Choice A**: \(\dfrac{107}{100}x\): This is equivalent to multiplying \( x \) by 1.07. **This is correct**.
- **Choice B**: \(0.7x + x\): This represents adding 70% of \( x \), not 7%. This is incorrect.
- **Choice C**: \(1.07x\): This directly represents adding 7% tax to \( x \). **This is correct**.
- **Choice D**: \(x + \dfrac{7}{10}x\): \(\dfrac{7}{10}x = 0.7x\), which represents adding 70% of the price, not 7%. This is incorrect.

### Conclusion:
The two correct choices are:
- **Choice A: \(\dfrac{107}{100}x\)**
- **Choice C: \(1.07x\)**

Would you like more details on this or have any further questions?

### Relative Questions:
1. What if the tax rate was 10% instead of 7%?
2. How would the total price change if Leila received a discount before the tax was applied?
3. What is the total price if \( x = 50 \) dollars?
4. How does changing the tax rate affect the total price formula?
5. How would you calculate the total if multiple models were purchased?

### Tip:
Always convert percentage values to decimals before applying them in calculations.

Leila is buying a dinosaur model. The price of the model is [x] dollars, and she also has to pay a 7% tax. Which of the following expressions could represent how much Leila pays in total for the model? Choose 2 answers:
- (Choice A) \dfrac{107}{100}x
- (Choice B) 0.7x + x
- (Choice C) 1.07x
- (Choice D) x + \dfrac{7}{10}x

Learn how to calculate the total price when a 7% tax is applied to a purchase. This problem covers key algebra concepts such as working with percentages and expressions. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation