Describe and correct the error in writing the value of the product. 2 x 2 x 2 x 2 = 4²
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Answer:
Step-by-step explanation:
This is an exponential function. Peter is not simply adding $10 a week to his savings, he's doubling each value each week. The first case of adding $10 a week is linear.
The standard form of an exponential equation is
where a is the initial amount and b is the growth or decay factor. We know a = 10 because we are told he started with $10. After the first week he would have $20 then because $10 doubled is $20. That coordinate is (1, 20). We will use that in place of x and y and solve for b:
b to the first is just b, so what we have essentially is 10b = 20, so b = 2. The equation then is: