The temperature at a hill station was 5 °C at noon. It fell by 3 °C every hour for the next 4 hours. What was the temperature after 4 hours? Represent the change on a number line.
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Step-by-Step Solution
Step 1: Identify Initial Temperature and Rate of Change
First, we identify the given information: the initial temperature at noon, the rate at which the temperature falls, and the duration over which this change occurs. This helps us set up the problem.
Step 2: Calculate Total Temperature Fall
To find the total temperature drop, we multiply the rate of temperature fall per hour by the total number of hours. Since the temperature 'fell', this change will be subtracted from the initial temperature.
Step 3: Calculate Final Temperature
Now that we have the total temperature fall, we subtract it from the initial temperature to find the final temperature after 4 hours. A fall in temperature means a decrease, so we use subtraction.
Step 4: Determine Final Temperature Value
Performing the subtraction, 5−12, gives us −7. So, the final temperature after 4 hours is −7 ∘C. This indicates a temperature below freezing point.