Question

Shawn recently published his first novel. he sold 1,264 copies in the first month after it was published. shawn's publisher predicts that the monthly number of copies sold will increase by a factor of 1 8 each month. write an exponential equation in the form y=a(b)x that can model the monthly number of copies sold, y, x months after the novel was published. use whole numbers, decimals, or simplified fractions for the values of a and b. y = after how many months is the monthly number of copies sold predicted to be greater than 2,000? a) y = 1264 x (1.8)ˣ b) y = 1264 x (0.8)ˣ c) y = 1264 x (18)ˣ d) y = 1264 x (0.18)ˣ

Answer 1

The exponential equation is y = 1264 * (1.8)^x. After approximately 3 months, the monthly number of copies sold is predicted to be greater than 2,000.

Step-by-step explanation:

The exponential equation that can model the monthly number of copies sold, y, x months after the novel was published is:

y = 1264 * (1.8)^x

To find after how many months the monthly number of copies sold is predicted to be greater than 2,000, we can set up the equation and solve for x:

2000 = 1264 * (1.8)^x

Solving this equation, we find that after approximately 3 months, the monthly number of copies sold is predicted to be greater than 2,000. Therefore, the correct answer is (a) y = 1264 x (1.8)ˣ.