Answer:20 feet every 3 seconds
Step-by-step explanation:
C would be the correct answer. You caanot multiply just one part of an equation, you must multiply the whole thing. All of the other steps follow this rule, so C is an incorrect step, and is therefore the correct choice.
Hope this helps!
Answer:
0.3
Step-by-step explanation:
Answer:
![y=2\cdot4^x\\y=4\cdot\left(\frac{1}{2}\right)^x](https://tex.z-dn.net/?f=y%3D2%5Ccdot4%5Ex%5C%5Cy%3D4%5Ccdot%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5Ex)
Step-by-step explanation:
We're given both the y-intercept and a point on the graphs of both functions, so our work her is largely just substituting x and y values in the general form of the equation for an exponential function.
For the first one, we can start by using the point (0, 2) to solve for a:
![y=a\cdot b^x\\2=a\cdot b^0\\2=a](https://tex.z-dn.net/?f=y%3Da%5Ccdot%20b%5Ex%5C%5C2%3Da%5Ccdot%20b%5E0%5C%5C2%3Da)
Next, we can use that a-value and the second point to solve for b:
![y=2\cdot b^x\\128=2\cdot b^3\\64=b^3\\4=b](https://tex.z-dn.net/?f=y%3D2%5Ccdot%20b%5Ex%5C%5C128%3D2%5Ccdot%20b%5E3%5C%5C64%3Db%5E3%5C%5C4%3Db)
This gives us the equation
for the first function.
We can repeat the same process for the second function. Solving for a:
![y=a\cdot b^x\\4=a\cdot b^0\\4=a](https://tex.z-dn.net/?f=y%3Da%5Ccdot%20b%5Ex%5C%5C4%3Da%5Ccdot%20b%5E0%5C%5C4%3Da)
And then for b, using the point (2, 1):
![1=4\cdot b^2\\\frac{1}{4}=b^2\\\frac{1}{2}=b](https://tex.z-dn.net/?f=1%3D4%5Ccdot%20b%5E2%5C%5C%5Cfrac%7B1%7D%7B4%7D%3Db%5E2%5C%5C%5Cfrac%7B1%7D%7B2%7D%3Db)
This gives us the general equation ![y=4\cdot\left(\frac{1}{2}\right)^x](https://tex.z-dn.net/?f=y%3D4%5Ccdot%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5Ex)
Answer:
I got 38 and 11
Step-by-step explanation: