Amanda leaves Boston at 10:00 AM and drives to Buffalo, NY, which is 400 miles away. After 4 hours, the traffic causes Amanda to reduce her speed by 20 mph. She stops to rest for two hours, and then arrives in Buffalo at 8:00 PM. What was Amanda's initial speed?

60 mph

Step-by-step explanation:

Using the information in the problem, you can create this equation:

Total distance - (distance that Amanda covered before she slowed down) - (distance that Amanda covered when she slowed down) = 0

And using the formula distance = rate * time, you can substitute the values in:

400 - 4x - 4(x + 20) = 0

When you solve for x, you get x = 60.

And since x is the speed that Amanda was going before she slowed down, 60 mph will be your answer.

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

the function makes a strait line horizontally with no x intercept but a y intercept at 9.