Linear+Systems-Target+E-Where+is+the+Overlap?-Investigations

**Target 5E: Graph a System of a Linear Inequalities**
Hit The Brakes How Fast Can You Stop?

How does your reaction time affect the stopping distance of a car? You will explore this question in this investigation. A driver has to take three actions before braking occurs: perceiving if braking is necessary, moving his or her foot from the accelerator to the brake pedal, and pressing the brake pedal. How far a car travels during the reaction time is called the reaction distance. A driver's perception time can vary based on alertness. How fast is your perception time? Try the game below to measure your average perception time in five trials.

To calculate your total reaction time (t) add two values to your average perception time, 0.25 and 0.75 seconds. This will represent the lowest and highest range of values of your total reaction time. Your reaction distance will vary depending on how fast you are driving. Use the function D(t) = velocity *total reaction time. Fill in the table and graph your two reaction distance inequalities below.

Add Geogebra widget

Driver alertness can change based on other factors such as tiredness or distractions. Let's try the same experiment while texting. Text "Driving while texting is dangerous" while playing the game. You will need to press the mouse button with your non-dominant hand while texting with your dominant hand.

1. What does the graph represent?

2. How much did texting impact your total reaction time?

3. How much did texting impact your reaction distance?