Using your calculated distances and times, the truck speeds are
A = 88/1.6 = 55 mi/hr
B = 93/1.5 = 62 mi/hr
Let x=0 correspond to 8:00 AM
Then we have points on the graphs of A and B as follows:
A: (1,187)
B: (0.5,248)
Then the equations of the graphs for the trucks are
A: y-187 = -55(x-1)
B: y-248 = -62(x-0.5)
or,
A; y=242-55x
B: y=279-62x
Now calculate the x-intercepts for these equations, and see which truck arrives at y=0 first.
Two freight trucks are traveling to the same destination, and each are traveling at a constant speed. Truck A is 187 miles away from its destination at 9 a.m., one hour after leaving from its origin, and is 99 miles away from the destination at 10:36 a.m. Truck B started traveling to its destination at 6:30 a.m. Truck B is 248 miles away at 8:30 a.m. and 155 miles away at 10 a.m. Analyze each situation to determine a function that finds the distance to the destination for each truck based on the time in hours after starting the trip from the origin to the destination. Then use the functions to determine which truck will arrive first to its destination.
i need help with the functions part. i already know truck A traveled 88 miles in 1 hour and 36 minutes and truck B traveled 93 miles in 1 hour and 30 minutes.
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