Question

A car moving at a constant speed passed a timing device at t=0. After 8 ​seconds, the car has traveled 784 ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.

Answer 1

To model the distance a car has traveled after passing a timing device, use the formula d = do + vt, where d is the distance, do is the initial distance, v is the velocity, and t is the time. Using the given information, we find that the linear function rule is d = 98t.

Step-by-step explanation:

To write a linear function rule to model the distance the car has traveled any number of seconds after passing the timing device, we can use the formula d = do + vt. In this formula, d represents the distance, do represents the initial distance (which is 0 in this case), v represents the velocity, and t represents the time.

From the given information, we know that after 8 seconds, the car has traveled 784 ft. We can plug these values into the formula to find the velocity:

d = do + vt

784 = 0 + v * 8

784 = 8v

v = 98 ft/s

Now that we have the velocity, we can write the linear function rule as:

d = 98t