The temperature of a city changed by a total of −15 degrees Celsius over a 5-week period. The temperature changed by the same amount each week.

Part A: Write an expression to show the average change in the temperature of the city each week. (5 points)

Part B: Simplify the expression and explain, using words, what your answer means.
You need to write this in a paragraph.

1 answer

Part A: Let's represent the average change in the temperature of the city each week as 'x'. Since the temperature changed by the same amount each week and decreased by a total of 15 degrees Celsius over 5 weeks, the expression for the average change in temperature per week can be written as: x = -15/5.

Part B: To simplify the expression, we perform the division: x = -15/5 = -3. This means that on average, the temperature of the city decreased by 3 degrees Celsius every week. The negative sign indicates a decrease in temperature. Therefore, the average change in the temperature of the city per week is a decrease of 3 degrees Celsius.