Question

Mr. Brown's class is collecting books for a book drive. They started with 2 books. On the first day, they had 6 books. On the second day they had 18 books. Write an equation that models this situation.
A) y = 4x + 2
B) y = 2(3)x
C) y = 3x + 2
D) y = x2 + 2

Answer 1

we are given

Let's assume total number of books =y

number of days =x

They started with 2 books

so, first term is 2

second term is 6

third term is 18

we can see that this is geometric series

so, firstly we will find common ratio

$r=\frac{6}{2}= 3$

total number of terms is x+1

now, we can find nth term

$y=2(r)^{x+1-1}$

now, we can plug back r

we get

$y=2(3)^{x}$...........Answer

Answer 2

The answer is b

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