Question

RICH VS. MARCUS

For this simulcam race, Rich is given a 10 yard head start. Write the function rules for
both players, then graph both equations and fill in the approximate table values.

Rich's function R(t) = function rule?
T R(t)
0 10
1 ?
2. ?
3. ?
4. ?
5. ?

Marcus' is M(t) = function rule?
T. R(t)
0. 0
1. ?
2. ?
3. ?
4. ?
5. ?

Answer 1

Answer: N/A

Step-by-step explanation: In a race between Rich and Marcus, Rich is given a 10-yard head start. Assuming that Rich runs at a constant speed and Marcus runs at a faster constant speed, we can write their positions as functions of time:

Rich's position function is R(t) = 10 + r*t, where r is Rich's speed in yards per second.

Marcus's position function is M(t) = m*t, where m is Marcus's speed in yards per second.

We can use these functions to fill in a table of approximate values for the distance each runner travels at different times:

Time (t) Rich's Distance (R(t)) Marcus's Distance (M(t))

0 10 0

1 10 + r m

2 10 + 2r 2m

3 10 + 3r 3m

4 10 + 4r 4m

5 10 + 5r 5m

To graph these functions, we can plot the points from the table and connect them with a straight line. The graph shows the distance each runner travels as a function of time. Note that the value of r is not given in the problem, so we cannot calculate the exact positions of Rich at each time interval.