Question

Bryson is jogged at a constant rate of constant speed he starts a timer when he is 20 feet from his starting position. after 5 seconds, Bryson is 80 feet from his starting position. write a linear equation in slope-intercept form to find the distance d of bryson from his starting position after t second​

Answer 1

d = 4t + 60

Explanation:

If Bryson jogged at a constant rate of constant speed and he starts a timer when he is 20 feet from his starting position. after 5 seconds, his speed will represent the slope of the required equation:

Speed = distance/time

Speed = 20 feet/ 5 secs

Speed = 4ft/s

Hence the slope of the equation is 4ft/s

Next is to get the intercept c

Standard equation that represents the expression is:

d = mt+c

d is the distance of bryson from his starting position

To get the intercept c, substitute d = 80, m = 4 and t = 5 into the equation as shown:

80 = 4(5) + c

80 = 20 +c

c = 80 - 20

c = 60

Get the equation:

Substitute m = 4 and c = 60 into the original equation

d = mt + c

d = 4t + 60

Hence a linear equation in slope-intercept form to find the distance d of bryson from his starting position after t second​ is d = 4t + 60