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.
Answer:
$15 for a lawn, $105 for seven lawns.
Step-by-step explanation:
The question is about the direct ratio problem. Logically, you will earn more if you mow more lawn.
The scheme for this ratio is given below:
15 n_________n lawns
x_________ 1 lawn
You will earn 15 dollars for mowing a lawn
When you mow 7 lawns, the scheme will be in this manner:
15 n__________n lawns
x__________7 lawns
You will earn 105 dollars
Answer:
8
Step-by-step explanation:
100 - 12 (true or false) = 88
88/11 = 8
Hope this helps!!
happy holidays
Answer: 45 Degrees
Step-by-step explanation:
