Jillian walked 0.5 miles before she started jogging at an average pace of 5 miles per hour. The equation d = 0.5 + 5t can be used to relate the total distance, d, in miles to the time, t, that Jillian spent jogging. What are the independent and dependent variables?
Answers
d is dependent variable since it depends on t
Solution:
Total distance walked by Jillian before walking = 0.5 miles
Speed while Jogging = 5 miles per hour
The equation d, which gives relation between Total distance walked by Jillian before walking and Speed while Jogging is given by, d = 0.5 + 5 t
where d= total distance in miles, t = time spent by Jillian while jogging
Now , Independent Variable : In equation the independent variable is that variable which can take any value i.e any real number not affected by other variable.
Dependent Variable : Those variable whose value depends on other variable.
As you can see from the , Distance d depends on time spent by Jillian while jogging.
As t increases , value of d increases, as this is a linear function , where t and d are directly proportional to each other.
So, Final result : t= Independent Variable, and d = Dependent variable