High School

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To identify the unit rate in word problems:

Dan earned [tex]\$200[/tex] in 2 days and [tex]\$300[/tex] in 3 days.

[tex]
\[
\begin{array}{l}
\frac{\$200}{2 \text{ days}} = \frac{\$100}{1 \text{ day}} = \$100 \text{ per day} \\
\frac{\$300}{3 \text{ days}} = \frac{\$100}{1 \text{ day}} = \$100 \text{ per day}
\end{array}
\]
[/tex]

A doctor sees 6 patients in [tex]1^{1/2}[/tex] hours. How many patients does the doctor see per hour?

[tex]\(\square\)[/tex] patients per hour

Answer :

To find out how many patients the doctor sees per hour, we need to calculate the unit rate of patients per hour.

Here's how you can solve it step-by-step:

1. Determine the Total Number of Patients:
The doctor sees a total of 6 patients.

2. Determine the Total Time:
The doctor works for [tex]\(1 \frac{1}{2}\)[/tex] hours. In decimal form, this is 1.5 hours.

3. Calculate the Patients per Hour:
To find out how many patients the doctor sees in one hour, divide the total number of patients by the total time in hours.

[tex]\[
\text{Patients per hour} = \frac{\text{Total patients}}{\text{Total hours}} = \frac{6}{1.5}
\][/tex]

4. Compute the Result:
Performing this division gives you 4. Thus, the doctor sees 4 patients per hour.

Therefore, the doctor sees [tex]\(\boxed{4}\)[/tex] patients per hour.

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