**Problem Statement:**Dr. Smith can see 8 patients in 3 hours. At this rate, how long would it take him to see 48 patients?**Multiple Choice Options:**- **A.** 128 hours- **B.** 24 hours- **C.** 17 hours- **D.** 18 hours**Explanation:** To solve this problem, you can use the concept of unit rates. First, calculate the time taken to see one patient by dividing the given time by the number of patients. In this case, Dr. Smith takes 3 hours to see 8 patients, which means he takes \( \frac{3}{8} \) hours per patient. To find the time to see 48 patients, multiply his time per patient by 48:\[\text{Time for 48 patients} = \frac{3}{8} \times 48 = 18 \text{ hours}\]Thus, the correct answer is **D. 18 hours**.

Given that Dr. Smith can see 8 patients in 3 hours.We need to find the time to be taken to see 48 patients.Dr. smith takes 3 hours to see 8 patients.So,to see 1 patient Dr. smith takes 38 hours.Hence, to see 48 patients Dr. smith needs=48×38=18 hours.So, it would take 18 hours to see 48 patients.Answer: option D. 18 hours.

Answered: Dr. Smith can see 8 patients in 3…

Math

Algebra

Dr. Smith can see 8 patients in 3 hours. At this rate, how long would it take him to see 48 patients? O A. 128 hours B. 24 hours O C. 17 hours D. 18 hours

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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Question

**Problem Statement:**

Dr. Smith can see 8 patients in 3 hours. At this rate, how long would it take him to see 48 patients?

**Multiple Choice Options:**

- **A.** 128 hours
- **B.** 24 hours
- **C.** 17 hours
- **D.** 18 hours

**Explanation:**

To solve this problem, you can use the concept of unit rates. First, calculate the time taken to see one patient by dividing the given time by the number of patients. In this case, Dr. Smith takes 3 hours to see 8 patients, which means he takes \( \frac{3}{8} \) hours per patient. To find the time to see 48 patients, multiply his time per patient by 48:

\[
\text{Time for 48 patients} = \frac{3}{8} \times 48 = 18 \text{ hours}
\]

Thus, the correct answer is **D. 18 hours**.

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