Let be the speed of train A, and let's set the origin in the initial position of train A. The equations of motion are
where are the positions of trains A and B respectively, and t is the time in hours.
The two trains meet if and only if , and we know that this happens after two hours, i.e. at
Solving this equation for v we have
So, train A is travelling at 105 km/h. This implies that train B travels at
Answer:
a) Table and graph showed
b) The distance will be 231 miles
c) Yes
Step-by-step explanation:
We know the van gets 22 mi/gal, so the distance D in miles traveled by the van can be expressed as
D(g)=22g, being g the number of gallons of gas used
a) The graph of the function D and its corresponding table of values is shown below.
b) If the van used g=10.5 gallons of gas, the distance would be:
D(10.5)=22 x 10.5 = 231 miles
c) The values of g are real in nature because they represent the amount of gas consumed by the van and it can be any real positive number. Being D a linear function of g, it also happens to take positive real values. Then it makes sense to connect the points with lines.
