This graph has a horizontal asymptote so it is an exponential graph. It also passes through two points (0,-2) and (1,3). The horizontal asymptote is at y=-3.
The unchanged exponential equation is y=a(b)^x +k
For exponential equations, k is always equal to the horizontal asymptote, so k=-3.
You can check this with the ordered pair (0,-2). After that plug in the other ordered pair, (1,3).
This gives you 3=a(b)^1 or 3=ab. If you know the base the answer is simple as you just solve for a.
If you don't know the base at this point you have to sort of guess. For example, let's say both a and b are whole numbers. In that case b would have to be 3, as it can't be 1 since then the answer never changes, and a is 1. Then choose an x-value and not exact corresponding y-value. In this case x=-1 and y= a bit less than -2.75. Plug in the values to your "final" equation of y=(3)^x -3.
So -2.75=(3^-1)-3.
3^-1 is 1/3, 1/3-3 is -8/3 or -2.6667 which is pretty close to -2.75. So we can say the final equation is y=3^x -3.
Hope this helps! It's a lot easier to solve problems like these given either more points which you can use system of equations with, or with a given base or slope.
Ok so we know that in ONE second, the dam releases 40000 gallons of water. In ONE minute, there are 60 seconds. Therefore...
1 second----------------40000 gallons
60 seconds--------------? ( this is what we're trying to find.
To get from 1 to 60, we multiplied by 60. Now we do it on the other side. 40000 times 60 is 2,400,000, so the rate in gallons per minute is 2,400,000 gallons per minute
58,927 - move decimal 4 places to the left
5.8927
Answer:
1.40476190476
Step-by-step explanation:
