For this case we have an equation of the potential type.
y = A * (b) ^ x
Where,
A: initial amount
b: rate of increase
x: number of days
Substituting values we have:
y = 2 * (2) ^ x
For day 4 we have:
y = 2 * (2) ^ 4
y = 32 times
Answer:
he does ride around the block on day 4 about:
y = 32 times
Answer:
7/9 of 4815 is 3852. 1/2 of 3852 is 1926. So 1926 dollars
Step-by-step explanation:
Answer:
10 is essentially 10/1 and to get a reciprocal simply switch the numerator and the denominator.
1/10 which would be 0.1
Answer:
![18 = ab^0 =a](https://tex.z-dn.net/?f=%2018%20%3D%20ab%5E0%20%3Da)
And using the second point we have this:
![288= 18 b^2](https://tex.z-dn.net/?f=%20288%3D%2018%20b%5E2)
If we divide both sides by 18 we got:
![16 = b^2](https://tex.z-dn.net/?f=%2016%20%3D%20b%5E2)
And taking the square roof of 16 we got:
![b =\pm \sqrt{16} =\pm 4](https://tex.z-dn.net/?f=%20b%20%3D%5Cpm%20%5Csqrt%7B16%7D%20%3D%5Cpm%204)
But on this case the negative solution not makes sense since the function is increasing so then the correct exponential function that pass through the points (0,18) and (2,288) is:
![y = 18 (4)^x](https://tex.z-dn.net/?f=%20y%20%3D%2018%20%284%29%5Ex)
Step-by-step explanation:
We want to construct an exponential function given by this general form:
![y = ab^x](https://tex.z-dn.net/?f=%20y%20%3D%20ab%5Ex)
And we know that the function needs to pass for two points (0,18) and (2,288). Using the first point we have this:
![18 = ab^0 =a](https://tex.z-dn.net/?f=%2018%20%3D%20ab%5E0%20%3Da)
And using the second point we have this:
![288= 18 b^2](https://tex.z-dn.net/?f=%20288%3D%2018%20b%5E2)
If we divide both sides by 18 we got:
![16 = b^2](https://tex.z-dn.net/?f=%2016%20%3D%20b%5E2)
And taking the square roof of 16 we got:
![b =\pm \sqrt{16} =\pm 4](https://tex.z-dn.net/?f=%20b%20%3D%5Cpm%20%5Csqrt%7B16%7D%20%3D%5Cpm%204)
But on this case the negative solution not makes sense since the function is increasing so then the correct exponential function that pass through the points (0,18) and (2,288) is:
![y = 18 (4)^x](https://tex.z-dn.net/?f=%20y%20%3D%2018%20%284%29%5Ex)