Question

A car moving at a constant speed passed a timing device at t = 0. After 6 ​seconds, the car has traveled 534 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

Answer:

d = 89t

Step-by-step explanation:

d = distance --- t = timing device --- x = speed or feet per x

d = tx

linear equation from this (SOLVE) --> 534 = 6x ---> 89 = x

linear equation --> d = 89t

Answer 2

Answer:

$f(x)=89x$

Step-by-step explanation:

With the given information, you have 2 points.

1. (0, 0)

2. (6, 534)

With 2 points, you can calculate the slope of the linear function.

$m=\frac{y2-y1}{x2-x1} \\m=\frac{534-0}{6-0} \\m=\frac{534}{6} \\m=89$

Finally, you can write a function:

$f(x)=mx+b$

No need to calculate the y-intercept as thats already given in point (0, 0).

$f(x)=89x+0\\f(x)=89x$