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Let's break down and solve the questions in the image you provided:

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### 2. (a) **Eye Blink Frequency**
- **Given**: Average time between consecutive blinks is 2.8 seconds.
- **Task**: Calculate how many times an eye blinks in one day.

**Steps**:
1. Find the number of seconds in one day:  
   \( 1 \, \text{day} = 24 \times 60 \times 60 = 86,400 \, \text{seconds} \)
   
2. The time between two blinks is 2.8 seconds, so the number of blinks per day is:  
   \( \frac{86,400}{2.8} \)

**Calculation**:
\[
\frac{86,400}{2.8} = 30,857.14 \, \text{blinks/day}
\]

So, the eye blinks about **30,857 times per day**.

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### 2. (b) **Touch Receptors on a Fingertip**
- **Given**: 
  - Density of touch receptors = 2,500 per cm².
  - Area of fingertip = 50 mm².
  
- **Task**: Find how many touch receptors are on the fingertip.

**Steps**:
1. Convert the area from mm² to cm².  
   \( 1 \, \text{cm}^2 = 100 \, \text{mm}^2 \)  
   So, \( 50 \, \text{mm}^2 = \frac{50}{100} = 0.5 \, \text{cm}^2 \)
   
2. Multiply the area by the density to find the total number of receptors:  
   \( 0.5 \times 2,500 = 1,250 \, \text{receptors} \)

Thus, there are **1,250 touch receptors** on the fingertip patch.

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### 2. (c) **Cerebrospinal Fluid Production**
- **Given**: 
  - Production rate of cerebrospinal fluid (CSF) = 0.35 ml/min.
  - Time = 4 hours.
  
- **Task**: Find the amount of CSF produced in 4 hours, in liters.

**Steps**:
1. Convert 4 hours to minutes:  
   \( 4 \, \text{hours} = 4 \times 60 = 240 \, \text{minutes} \)
   
2. Multiply the production rate by the total time to get the amount of fluid:  
   \( 0.35 \times 240 = 84 \, \text{ml} \)
   
3. Convert milliliters to liters:  
   \( 1 \, \text{liter} = 1,000 \, \text{ml} \)  
   So, \( 84 \, \text{ml} = \frac{84}{1,000} = 0.084 \, \text{liters} \)

Therefore, **0.084 liters** of CSF is produced in 4 hours.

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Would you like more details or further explanation on any of these parts? Here are some related questions to think about:

1. How would the result in (a) change if the average blink time were shorter?
2. What if the fingertip area in (b) was increased to 100 mm²? How many receptors would there be?
3. How would you calculate the total blinks in a week or month based on the results from (a)?
4. What if the CSF production rate in (c) was 0.5 ml/min instead of 0.35 ml/min?
5. How would you express the receptor density in mm² instead of cm²?

**Tip**: Always check your units during conversions to avoid mistakes in problems like these!

2. (a) Average time between (two consecutive) blinks of an eye is about 2.8 seconds. How many times does an eye blink in one day?
(b) The density of touch receptors on a human fingertip is about 2,500 per cm². How many touch receptors are there on a patch of a fingertip whose area is 50 mm²?
(c) The average rate of production of cerebrospinal fluid (CSF) in an adult is 0.35 ml/min. What is the amount (in litres) of CSF produced in 4 hours?

Learn how to calculate the number of times an eye blinks in a day, the number of touch receptors on a fingertip, and the cerebrospinal fluid production in 4 hours. This problem involves unit conversions, rates, and basic multiplication. Suitable for students in Grades 9-10.

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