Question

A car moving at a constant speed passed a timing device at t=0. After 9 seconds, the car hastraveled 1,035 ft. Write a linear function rule to model the distance in feet d the car has traveled anynumber of seconds t after passing the timing device.The linear function rule is d =

Answer 1

`d=0.115t`

Step-by-step explanation:

Since the question ask us to write a linear function, the equation of a line is:

`y=mx+b`

In this case,

y is the distance, y = d

x is the seconds passed, x = t

m is the slope, is this case, the velocity

b is the y-intercept. In this case, is the position of the car at t = 0. We know that b = 0

We can write:

`\begin{gathered} d=mt+0 \\ d=mt \end{gathered}`

Then, we know that at 9 seconds (t = 9), the car has moved 1.035 feet (d = 1.035)

Then:

`\begin{gathered} 1.035=9m \\ m=(1.035)/(9)=0.115 \end{gathered}`

Thus, the equation is:

`d=0.115t`