151k views
0 votes
A car moving at a constant speed passed a timing device at t = 0. After 7 seconds, the car has traveled 777 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.​

User Rajesh N
by
8.1k points

1 Answer

3 votes

Answer: d = 111t

Step-by-step explanation:Given that the car is moving at a constant speed, we can use the formula for linear functions to model the distance in feet d the car has traveled any number of seconds t after passing the timing device. A linear function is a function in which the highest power of the unknown variable is one. The linear function with dependent variable d and independent variable t can be written as:

d = mt + b

where m is the slope of the function and b is the y-intercept. To find the slope of the function, we can use the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are two points on the line. In this case, we have two points: (0, 0) and (7, 777). Therefore, the slope of the function is:

m = (777 - 0) / (7 - 0) = 111

To find the y-intercept, we can use the fact that the car passed the timing device at t = 0, which means that d = 0 when t = 0. Therefore, the y-intercept is:

b = 0

Substituting the values of m and b into the equation for the linear function, we get:

d = 111t

Therefore, 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 is:

d = 111t

User Alex Haas
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories