Question

A car moving at a speed passes a timing device at t=0. After 7 seconds, the car has traveled 609 ft. Wirte the 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

Explanation:

We can use the slope-intercept form of a linear equation to model the distance traveled by the car:

y = mx + b

where y is the distance traveled in feet (d), x is the time in seconds (t), m is the slope (the rate of change of the distance with respect to time), and b is the y-intercept (the initial distance traveled at t = 0).

We know that the car passed the timing device at t = 0, so the initial distance traveled is 0. We also know that after 7 seconds, the car has traveled 609 feet. We can use this information to find the slope:

m = (change in y) / (change in x) = (609 - 0) / (7 - 0) = 87

Therefore, the linear function rule to model the distance traveled by the car is:

d = 87t

where d is the distance traveled in feet and t is the time in seconds after passing the timing device.