If you graph the equation, you will see the vertex is (0.75, 6.125), the y-intercept is (0, 5) and the x-intercept is (2.5, 0). These key points answer the questions below.
A. It starts at 5 feet (y-intercept)
B. The max height is 6.125 feet (vertex)
C. Cannot be found (the graph is about height and distance, not time)
D. If lands 2.5 feet from the start (x-intercept)
2. Normally, to make the function of h(x) increment by 1, you have to increment x by 1. If the function h(x) becomes h(x/3), however, the function increments by 1 as x increments by 3. Thus, to reach the same values vertically, you need to move three times further horizontally.
It should be the same, 25%. Let's say Josh makes $4,000 a year, and Jeff makes $5,000. Jeff makes 25% more than Josh, and Josh makes 25% less than Jeff. Hope this helped.
Current concentration =5%
Current volume = 50 gallons
Current brine content = 0.05*(50 gallons) = 2.5 gallons.
Let x = gallons of water that evaporated.
Then
Final volume = (50 -x) gallons
Final concentration = 8%
Final brine content = 0.08*(50 - x) = 4 - 0.08x gallons
The brine content did not change, therefore
4 - 0.08x = 2.5
-0.08x = -1.5
x = 18.75 gallons
Answer: 18.75 gallons
