 Hello and welcome to the session. In this session we are going to discuss the following question and the question says that Shane and Bruce travel in their cars to reach their respective destinations. The relationship between time h in hours and distance d in miles traveled for Shane is given by d is equal to 60 into h. Also the following graph shows the average speed of Bruce's car whose car is travelling faster. We know that equation of proportional relationship is given by y is equal to k into x. Also we know that whenever a line passes through origin that is 00 there is a proportional relationship and unit rate or slope is given by change in y that is y minus 0 by change in x that is x minus 0 and is equal to y upon x. With this e idea let us proceed to the solution. In this question we are given the relationship between time and distance for Shane's car which is d is equal to 60 into h where h is time in hours and d is the distance traveled in miles. Here we are given the relationship between time and distance for Shane's car and this is given by d is equal to 60 into h where h is the time in hours and d is the distance traveled in miles and from the key idea we know that the equation of proportional relationship is given by y is equal to k into x and it is clear from the key idea that the relationship given by the equation d is equal to 60 into h is the proportional relationship. So from this equation we get the ratio that is d upon h is equal to 60 and we can see that the unit rate or slope of this equation will be equal to 60. It means in one hour the distance traveled 60 miles where we can see speed of Shane's car. Now we shall find the same for Bruce's car and again from the key idea we know that whenever our line passes through origin that is 00 there is a proportional relationship and the unit rate or slope is given by y upon x and we are given a graph which shows the average speed of Bruce's car and we see that there is a proportional relationship between time and the distance traveled because graph is a straight line passing through origin that is 00. First slope we find the ratio that is d upon h where d is the distance traveled in miles and h is the time taken in hours and here if we take this point the distance traveled is 67.5 miles and the time is 1.5 hours. So here we have the ratio d by h that is 67.5 miles upon 1.5 hours and this is equal to 35 miles per hour so its slope unit rate is equal to 35. It means in one hour Bruce travels 35 miles so its speed is 35 miles per hour. So from the slope we came to know about distance traveled per mile that is speed and we have seen that speed of Shane's car is 60 miles per hour and the speed of Bruce's car is 35 miles per hour. Clearly speed of Shane's car is greater than speed of Bruce's car. So we can say that Shane is traveling faster. This completes our session hope you enjoyed this session.