Imagine you're in a place where the temperature drops by 5°C each hour. If the temperature is currently at 8°C, write an expression which denotes the temperature after 4 hours.
Step 1: Temperature decrease per hour = −5°C Step 2: Number of hours = 4 Step 3: Total decrease = 4 × (−5) = −20°C Step 4: Expression: 8 + 4 × (−5) or 8 − Step 5: Final temperature = 8 + (−20) = −12°C
Answer: The expression is 8 + 4 × (−5) or 8 − . The temperature after 4 hours will be −12°C.
Explanation
The chapter explains that temperature decrease can be modeled using negative integers. The temperature drops by 5°C each hour, which can be represented as −5°C per hour. After 4 hours, the total decrease is 4 × (−5) = −20°C. Starting from 8°C, the final temperature is 8 + (−20) = −12°C.
Solution Steps
Step 1: Temperature decrease per hour = −5°C
Step 2: Number of hours = 4
Step 3: Total decrease = 4 × (−5) = −20°C
Step 4: Expression: 8 + 4 × (−5)
Step 5: Final temperature = 8 + (−20) = −12°C