High School

The table shows the hearing ranges of some animals.

[tex]
\[
\begin{tabular}{c|c}
Animal & \text{Hearing Range (Hz)} \\
\hline
\text{Dog} & 40 - 60000 \\
\hline
\text{Cat} & 48 - 85000 \\
\hline
\text{Elephant} & 16 - 12000 \\
\hline
\text{Goldfish} & 20 - 3000 \\
\hline
\text{Frog} & 100 - 4000
\end{tabular}
\]
[/tex]

Which animal has the largest hearing range?

A. Dog
B. Cat
C. Elephant
D. Goldfish
E. Frog

To determine which animal has the largest hearing range, calculate the width of each animal's hearing range by subtracting the lower limit from the upper limit.

1. Dog: [tex]60000 \, \text{Hz} - 40 \, \text{Hz} = 59960 \, \text{Hz}[/tex]
2. Cat: [tex]85000 \, \text{Hz} - 48 \, \text{Hz} = 84952 \, \text{Hz}[/tex]
3. Elephant: [tex]12000 \, \text{Hz} - 16 \, \text{Hz} = 11984 \, \text{Hz}[/tex]
4. Goldfish: [tex]3000 \, \text{Hz} - 20 \, \text{Hz} = 2980 \, \text{Hz}[/tex]
5. Frog: [tex]4000 \, \text{Hz} - 100 \, \text{Hz} = 3900 \, \text{Hz}[/tex]

Based on these calculations, identify which animal has the largest hearing range.

Answer :

To determine which animal has the largest hearing range, we need to calculate the width of each animal's hearing range. Here's how to do it step-by-step:

### Step 1:
Calculate the hearing range for each animal by subtracting the lower limit of their hearing range from the upper limit:

1. Dog:
- Upper limit: 60,000 Hz
- Lower limit: 40 Hz
- Hearing range = 60,000 Hz - 40 Hz = 59,960 Hz

2. Cat:
- Upper limit: 85,000 Hz
- Lower limit: 48 Hz
- Hearing range = 85,000 Hz - 48 Hz = 84,952 Hz

3. Elephant:
- Upper limit: 12,000 Hz
- Lower limit: 16 Hz
- Hearing range = 12,000 Hz - 16 Hz = 11,984 Hz

4. Goldfish:
- Upper limit: 3,000 Hz
- Lower limit: 20 Hz
- Hearing range = 3,000 Hz - 20 Hz = 2,980 Hz

5. Frog:
- Upper limit: 4,000 Hz
- Lower limit: 100 Hz
- Hearing range = 4,000 Hz - 100 Hz = 3,900 Hz

### Step 2:
Compare these hearing ranges to see which one is the largest.

- Dog: 59,960 Hz
- Cat: 84,952 Hz
- Elephant: 11,984 Hz
- Goldfish: 2,980 Hz
- Frog: 3,900 Hz

### Conclusion:
The cat has the largest hearing range, which is 84,952 Hz. Therefore, the answer is Cat.