Final answer:
The correct equation to find out how many years it will take for the rabbit population to reach 4,800 given it doubles every year is 4800 = 150 × 2^x. None of the provided options a) 4800 = 2 x 150 or b) 4800 = 2 ( 150 ) are correct.
Step-by-step explanation:
The question is asking for an equation to calculate how many years, x, it will take for the population of rabbits on an island to grow from 150 rabbits to 4,800 rabbits if the population doubles every year. To solve this problem, we use the formula for exponential growth, which is P = P0 × b^x, where P is the final population, P0 is the initial population, b is the base of the exponential function representing the growth rate (in this case, b = 2 for doubling), and x is the number of time intervals (years, in this case).
The correct equation using the given information would be 4800 = 150 × 2^x. Here, 4800 represents the final population size we're trying to achieve, 150 is the initial population, and we are raising 2 (representing the population doubling) to the power of x, which is the number of years we want to find.