<h2>
Answer:</h2>
The value of y is 8.4375
<h2>
Step-by-step explanation:</h2><h3>Known :</h3>
<h3>Asked :</h3>
- The value of y when x is 2.25
<h3>Solution :</h3>
2/7.5 = 2.25/y
Do a cross multiplication,
2/7.5 = 2.25/y
=> 20/75 = 2.25/y
=> 75 . 2.25 = 20y
=> 168.75 = 20y
Reverse the equation,
168.75 = 20y
=> 20y = 168.75
Find the value of y,
20y = 168.75
=> y = 8.4375
<h3>Conclusion :</h3>
y = 8.4375
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.
Pretty sure it’s C That one makes the most sense to me please let me know if you get it right
Answer:
Step-by-step explanation:
The volume of a cube is s*s*s or s^3 where s = the length of a side (2 in this case).
V = s^3
V = 2^3
V = 2*2*2
V = 8 cu in or 8 in^3
