Question

a car increases, then decreases, its speed. which table could represent the speed of the car? time (min) 5 6 7 8 9 speed (mph) 45 43 41 42 43 time (min) 5 6 7 8 9 speed (mph) 45 47 49 48 47 time (min) 5 6 7 8 9 speed (mph) 45 45 45 43 41 time (min) 5 6 7 8 9 speed (mph) 45 43 41 41 41

Explanation:

Step1: Analyze the first table

Check the trend of speed. The speed values are \(45,43,41,42,43\). First, it decreases (\(45\) to \(43\) to \(41\)), then increases (\(41\) to \(42\) to \(43\)). But the problem requires speed to increase then decrease.

Step2: Analyze the second table

The speed values are \(45,47,49,48,47\). First, it increases (\(45\) to \(47\) to \(49\)), then decreases (\(49\) to \(48\) to \(47\)). This follows the trend of increasing then decreasing.

Step3: Analyze the third table

The speed values are \(45,45,45,43,41\). The speed remains constant (\(45\)) for the first three time - points, then decreases. It does not follow the increasing - then - decreasing trend.

Step4: Analyze the fourth table

The speed values are \(45,43,41,41,41\). The speed only decreases. It does not follow the increasing - then - decreasing trend.

Answer:

The second table (with speed values \(45,47,49,48,47\))