Question

Today is the mega Race. To compete with Aaron are Bea, Carl, Donna, and Fred. Who's going to win the race?

1. Aaron rides at a constant rate of 2 meters per second.
2. Bea can ride her skateboard 1 meter per second. Can she beat Aaro if she had a 3-meter head start?
3. Carl rides 3 meters every 4 seconds and wants a 2-meter head start.
4. Donna estimates that she rides 3 meters in 3 seconds and will get a 5-meter head start.
5. Fred Usually rides 1 meter in 4 seconds and wants a 6-meter head start.
Write an equation in terms of x and y, showing the distance each rider travels. Let x represent time in seconds and y represent the distance in meters.
Use a table to organie your informationn. Find the slope of the equation for each rider.

Answer 1

To determine who will win the race, we can compare the slopes of the distance equations for each racer. Fred, with a slope of 1/4, will win the race.

Step-by-step explanation:

In this question, we have multiple racers competing in a race. Each racer has their own rate of speed. To determine who will win the race, let's calculate the distance traveled by each racer.

1. Aaron rides at a constant rate of 2 meters per second. Let's use the equation y = 2x to represent Aaron's distance. The slope of this equation is 2.

2. Bea can ride her skateboard 1 meter per second. If she had a 3-meter head start, her distance can be represented by the equation y = 1x + 3. The slope of this equation is 1.

3. Carl rides 3 meters every 4 seconds. If he wants a 2-meter head start, his distance can be represented by the equation y = (3/4)x + 2. The slope of this equation is 3/4.

4. Donna estimates that she rides 3 meters in 3 seconds. If she gets a 5-meter head start, her distance can be represented by the equation y = (3/3)x + 5. The slope of this equation is 1.

5. Fred usually rides 1 meter in 4 seconds. If he wants a 6-meter head start, his distance can be represented by the equation y = (1/4)x + 6. The slope of this equation is 1/4.

By comparing the slopes of the equations, we can determine that the racer with the highest slope (fastest rate of speed) will win the race. Therefore, Fred will win the race.