Question

33.3% complete question george's home is 20 miles from his place of work. one day as he is driving home from work, his car breaks down when he is 5 miles from work. he starts walking toward his home at an average rate of 4 miles per hour. if d represents his distance from home, in miles, and t represents the time, in hours, that he has been walking, which of the following gives d in terms of t ?

Answer 1

George's distance from home, expressed in terms of time spent walking, 't', is given by the equation d = 15 - 4t. This represents the initial 15 miles to cover minus the 4 miles he walks per hour multiplied by t hours.

Step-by-step explanation:

To express George's distance from home, d, in terms of the time, t, that he has been walking after his car breaks down, we start with the total distance he has to cover to reach home from the point where his car broke down.

Since George's home is 20 miles from work, and he breaks down 5 miles from work, the remaining distance to his home is 20 - 5 = 15 miles. Now, if he walks at an average rate of 4 miles per hour, then the distance covered in t hours would be 4t miles. Therefore, to find out how far George is from home after walking for t hours, we must subtract the distance he has covered (4t miles) from the initial distance from home (15 miles).

The equation relating d and t is: d = 15 - 4t.