Question

The graph shows the range of frequencies commonly heard by some animals.

A graph with frequency in Hertz on the axis from 0 to 100, 000. On the y axis are porpoise, bat, moth, cat, human, bird, fish, cricket and snake. Porpoise is 60 to 105,000 Hertz. Bat is 55 to 100,000 Hertz. Moth is 250 to 100,000 Hertz. Cat is 60 to 80, 000 Hertz. Human is 20 to 12,000 Hertz. Bird is 65 to 9000 Hertz. Fish is 80 to 2000 Hertz. Cricket is 55 to 1,000 Hertz. Lastly snake is 100 to 1000 Hertz.
Which animals can hear a sound wave that has 18,500 cycles in 0.75 seconds? Check all that apply.

bats
moths
cats
humans
birds
fish
crickets

Answer 1

To determine which animals can hear a sound wave with 18,500 cycles in 0.75 seconds, we first need to calculate the frequency of the sound wave in Hertz (Hz).

Frequency (in Hertz) is calculated as the number of cycles per second. To find the frequency of the sound (in Hz), we use the formula:

\[
\text{Frequency} = \frac{\text{Number of cycles}}{\text{Time in seconds}}
\]

Given:
- Number of cycles = 18,500
- Time = 0.75 seconds

Calculating the frequency:

\[
\text{Frequency} = \frac{18,500}{0.75} = 24,666.67 \, \text{Hz}
\]

Now we can compare this frequency to the hearing ranges of the animals given:

1. **Porpoise:** 60 - 105,000 Hz (can hear)
2. **Bat:** 55 - 100,000 Hz (can hear)
3. **Moth:** 250 - 100,000 Hz (can hear)
4. **Cat:** 60 - 80,000 Hz (can hear)
5. **Human:** 20 - 12,000 Hz (cannot hear)
6. **Bird:** 65 - 9,000 Hz (cannot hear)
7. **Fish:** 80 - 2,000 Hz (cannot hear)
8. **Cricket:** 55 - 1,000 Hz (cannot hear)

Based on this information, the animals that can hear a sound wave with a frequency of approximately 24,666.67 Hz are:

- Bats
- Moths
- Cats
- Porpoises

**Final answer:**
- Bats
- Moths
- Cats
- (Not included in the choices provided, but porpoises can also hear it.)