option 1 is not linear because it does not change by the same amount every year. It does not have a constant slope.
option 2 increases by 100 per year, constant slope, straight line, linear
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a = A y^n
1100 =A y
1210 = Ay^2
1331 = A y^3
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1210/1100 = y = 1.1
check 1331/1210 = y = 1.1 sure enough
1100 = A (1.1)
A = 1000
so
a = 1000 * 1.1^n
and the linear option 2
a = 1000+100n
You can put the numbers in for part C
10% compounded is better than 10% simple :)
Length would be 243, might want to read the other responses not sure if the answer is right
To convey as an algebraic expression simply break down the statements and use any variable to represent the number in the sentence.
10 • x^2 = 40x
10x^2 = 40x
10x^2 - 40x = 0
10(x^2 - 4x) = 0
X(x - 4) = 0
X = 0
X - 4 = 0
X = 4.
Here are two possibilities of what the number can be, but because it is a nonzero number, I believe it would be 4.
Answer: 3rd one
Rearrange the original equation so it fits the model of : ax^2+bx+c=0
Then use the quadratic formula to find all possible answers.
