Jasmijn is a pet groomer. She charges \[n\] dollars to clip a dog's nails, \[w\] dollars to wash the dog, and \[h\] dollars to cut a dog's hair. Jasmijn will perform all three services for each of the \[4\] dogs she needs to groom this weekend.

**Which expressions can we use to describe how much Jasmijn will charge for grooming all \[4\] dogs?**

Choose 2 answers:

Choose 2 answers:

(Choice A)   

\[4n+4w+4h\]

A

\[4n+4w+4h\]

(Choice B)   

\[4n+w+h\]

B

\[4n+w+h\]

(Choice C)   

\[4(n+h)+w\]

C

\[4(n+h)+w\]

(Choice D)   

\[n+w+h+4\]

D

\[n+w+h+4\]

(Choice E)   

\[4(n+w+h)\]

E

\[4(n+w+h)\]

To find out which expressions correctly represent the total amount Jasmijn will charge for grooming all 4 dogs, let's break down the costs.

### Cost for One Dog
For one dog, Jasmijn charges:

\[
n \text{ dollars for clipping nails} + w \text{ dollars for washing} + h \text{ dollars for cutting hair}
\]

So, the total cost for one dog is:

\[
n + w + h
\]

### Cost for 4 Dogs
Since she will perform the same services for each of the 4 dogs, the total cost for all 4 dogs is:

\[
4 \times (n + w + h)
\]

This can be expanded using the distributive property as:

\[
4n + 4w + 4h
\]

### Evaluating the Choices:
- **Choice A: \[4n + 4w + 4h\]** — This matches the expanded form of the expression.
- **Choice B: \[4n + w + h\]** — This only accounts for the nail clipping being done 4 times, but not for the washing and hair cutting, so it's incorrect.
- **Choice C: \[4(n + h) + w\]** — This suggests that the nail clipping and hair cutting are being done for all 4 dogs, but washing is only done once. This is incorrect.
- **Choice D: \[n + w + h + 4\]** — This adds 4 to the cost of a single dog, which doesn't correctly represent the total cost for 4 dogs. This is incorrect.
- **Choice E: \[4(n + w + h)\]** — This matches the correct expression derived initially.

### Correct Choices:
The correct expressions are **Choice A** and **Choice E**:

- **Choice A:** \[4n + 4w + 4h\]
- **Choice E:** \[4(n + w + h)\]

Would you like further details or have any questions? Here are five related questions for practice:

1. If Jasmijn charges $10 for nails, $15 for washing, and $20 for hair, how much would she charge for 3 dogs?
2. How would the total cost change if she decided to give a 10% discount on the total amount?
3. Write an expression for the total charge if she only performs nail clipping and washing for all dogs.
4. How much would she charge if she had to groom 5 dogs with a similar pricing structure?
5. If Jasmijn also charges a flat $5 fee per dog for transportation, how would that affect the total cost for 4 dogs?

**Tip:** When dealing with expressions involving multiple operations, always consider using the distributive property to simplify calculations!

Learn how to calculate the total grooming cost for 4 dogs based on given charges for nail clipping, washing, and hair cutting. Practice using distributive property to simplify algebraic expressions. Suitable for students in Grades 6-8.

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