The minimum temperatures from Monday through Sunday in the first week of July in southern Iceland are observed to be `-02^@C, 4^@C, 5^@C,7^@C,9^@C,10^@C`. What is the range of the temperature?

Options

A. `-10^@C`
B. `-8^@C`
C. `8^@C`
D. `12^@C`

Answer

To find the range of the minimum temperatures observed from Monday through Sunday in the first week of July in southern Iceland, we will follow these steps:

### Step 1: Identify the temperatures
The minimum temperatures recorded are:
- Monday: -2°C
- Tuesday: 4°C
- Wednesday: 5°C
- Thursday: 7°C
- Friday: 9°C
- Saturday: 10°C

### Step 2: Determine the highest and lowest temperatures
From the list of temperatures:
- The highest temperature is 10°C (Saturday).
- The lowest temperature is -2°C (Monday).

### Step 3: Apply the formula for range
The formula for calculating the range of a set of values is:
\[ \text{Range} = \text{Highest Value} - \text{Lowest Value} \]

### Step 4: Substitute the values into the formula
Substituting the highest and lowest temperatures into the formula:
\[ \text{Range} = 10°C - (-2°C) \]

### Step 5: Simplify the expression
When subtracting a negative number, it is equivalent to adding the positive:
\[ \text{Range} = 10°C + 2°C = 12°C \]

### Conclusion
The range of the temperatures is 12°C.