Question

The temperature of a city changed by a total of −20 degrees Celsius over a 4-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. (5 points)

Answer 1

Part A: Let's represent the average change in temperature each week as "x." Since the temperature changed by the same amount each week and there are 4 weeks in total, the expression to show the average change in temperature each week is 4x.

Part B: To simplify the expression, we multiply the number of weeks by the average change in temperature each week. So 4x simplifies to 4 times x, which is equal to 4x.

The expression 4x means that the temperature of the city changes by x degrees Celsius each week, and this change occurs for a total of 4 weeks.