**Grooming Cost Comparison of Paws Pet Store and Kitty’s Pet Shop**Welcome to our educational analysis on the grooming costs at two different pet stores. This exercise will help you understand and compare the costs of grooming services provided by Paws Pet Store and Kitty’s Pet Shop.### Problem Statement:**Paws Pet Store** charges $51 to groom a cat.**Kitty’s Pet Shop** models its grooming costs in dollars, $ g $, by the equation:\[ g = 65.5c \]where $ c $ is the number of cats.### Questions:a. Which store is more expensive for grooming one cat?b. How much more would it cost to groom 3 cats at the more expensive store?### Solution Details:1. **Cost Comparison for One Cat:** - **Paws Pet Store:** The cost to groom one cat is fixed at $51. - **Kitty’s Pet Shop:** The cost to groom one cat is calculated using the given equation. For one cat ($ c = 1 $): \[ g = 65.5 \times 1 = 65.5 \] Thus, it costs $65.50 to groom one cat at Kitty’s Pet Shop. **Conclusion:** Kitty’s Pet Shop is more expensive for grooming one cat with a charge of $65.50 compared to Paws Pet Store’s charge of $51.2. **Cost Difference for Grooming Three Cats:** - **Paws Pet Store:** The total cost to groom three cats is: \[ \$51 \times 3 = \$153 \] - **Kitty’s Pet Shop:** The total cost to groom three cats is: \[ 65.5 \times 3 = 196.5 \] Thus, it costs $196.50 to groom three cats at Kitty’s Pet Shop. **Conclusion:** The additional cost to groom three cats at the more expensive store (Kitty’s Pet Shop) compared to Paws Pet Store is: \[ 196.5 - 153 = 43.5 \] Hence, it costs $43.50 more to groom three cats at Kitty’s Pet Shop than at Paws Pet Store.### Summary:For grooming services:- **Kitty's Pet Shop** is more expensive than **Paws Pet Store**.- For grooming three cats, Kitty’s Pet

(a) In one store, say store A, costs $51 for grooming a cat. In another store, say store B, the cost…

Answered: Paws Pet Store charges $: modeled by…

Math

Algebra

Paws Pet Store charges $: modeled by the equation

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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**Grooming Cost Comparison of Paws Pet Store and Kitty’s Pet Shop**

Welcome to our educational analysis on the grooming costs at two different pet stores. This exercise will help you understand and compare the costs of grooming services provided by Paws Pet Store and Kitty’s Pet Shop.

### Problem Statement:

**Paws Pet Store** charges $51 to groom a cat.

**Kitty’s Pet Shop** models its grooming costs in dollars, $ g $, by the equation:
\[ g = 65.5c \]
where $ c $ is the number of cats.

### Questions:

a. Which store is more expensive for grooming one cat?

b. How much more would it cost to groom 3 cats at the more expensive store?

### Solution Details:

1. **Cost Comparison for One Cat:**
- **Paws Pet Store:** The cost to groom one cat is fixed at $51.
- **Kitty’s Pet Shop:** The cost to groom one cat is calculated using the given equation. For one cat ($ c = 1 $):
\[ g = 65.5 \times 1 = 65.5 \]
Thus, it costs $65.50 to groom one cat at Kitty’s Pet Shop.

**Conclusion:** Kitty’s Pet Shop is more expensive for grooming one cat with a charge of $65.50 compared to Paws Pet Store’s charge of $51.

2. **Cost Difference for Grooming Three Cats:**
- **Paws Pet Store:** The total cost to groom three cats is:
\[ \$51 \times 3 = \$153 \]
- **Kitty’s Pet Shop:** The total cost to groom three cats is:
\[ 65.5 \times 3 = 196.5 \]
Thus, it costs $196.50 to groom three cats at Kitty’s Pet Shop.

**Conclusion:** The additional cost to groom three cats at the more expensive store (Kitty’s Pet Shop) compared to Paws Pet Store is:
\[ 196.5 - 153 = 43.5 \]
Hence, it costs $43.50 more to groom three cats at Kitty’s Pet Shop than at Paws Pet Store.

### Summary:

For grooming services:
- **Kitty's Pet Shop** is more expensive than **Paws Pet Store**.
- For grooming three cats, Kitty’s Pet

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