Which expression is not equivalent to the other three?
1 answer:
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5)
The x-values go up by 1: -2, -1, 0, 1, 2
The y values are always 3 times the previous value.
This is an exponential function.
We need to find a and b.
Look at x = 0.
For x = 0, y = 4.
Since b^0 = 1, this simplifies to
Now we know a = 4. We have
Look at x = 1. For x = 1, y = 12.
Now that we know a and b, we can write the function.
Now that you have the function written out, notice the following.
In the exponential equation we found, the number raised to x
is the number you multiply each y value to get the next y value.
In this case, each y value is 3 times the previous one, so you have 3^x.
The way you find "a" in the exponential equation is to look at the y-coordinate
when x = 0. When x = 0, b^x is 1, so b^x drops out, and you get "a" equal to
the y-value. In this case, when x = 0, y = 4, so "a" is 4.
With b = 3, and a = 4, you can quickly write:
y = 4(3)^x.
The x-values go up by 1: -2, -1, 0, 1, 2
The y values are always 3 times the previous value.
This is an exponential function.
We need to find a and b.
Look at x = 0.
For x = 0, y = 4.
Since b^0 = 1, this simplifies to
Now we know a = 4. We have
Look at x = 1. For x = 1, y = 12.
Now that we know a and b, we can write the function.
Now that you have the function written out, notice the following.
In the exponential equation we found, the number raised to x
is the number you multiply each y value to get the next y value.
In this case, each y value is 3 times the previous one, so you have 3^x.
The way you find "a" in the exponential equation is to look at the y-coordinate
when x = 0. When x = 0, b^x is 1, so b^x drops out, and you get "a" equal to
the y-value. In this case, when x = 0, y = 4, so "a" is 4.
With b = 3, and a = 4, you can quickly write:
y = 4(3)^x.
Answer:
It depends.
Step-by-step explanation:
For 6 years:
On average, you would have to be profiting:
per year
For 4 years:
On average, you would have to be profiting:
per year.
It would be better to have the longer term option - although you will be paying off more in total, you would be paying off a smaller portion of your earnings.
However, you may want to pay off the loan faster as you would no longer have to worry about it, and it would be cheaper to pay off over the shorter period.