Question

The initial number of views for a reader board was 25. The number of views is growing exponentially at a rate of 18% per week. What is the number of views expected to be four weeks from now? Round to the nearest whole number Enter your answer in the box.

Answer 1

its 48. i took the same test haha

Answer 2

This is an exponential growth problem. Let's write the equation for exponential growth.

$P=P_{0} (1+r)^{n}$

Where,

• P is the final amount
• $P_{0}$ is the initial amount
• r is the rate at which increasing
• n is the time

From the problem, we know initial number of views, $P_{0}$, is 25. Rate of increase, r, is 0.18. Time, n, is 4 weeks. Plugging in these values in the equation and solving for P will give us the number of views expected in four weeks time.

$P=(25)(1+0.18)^{4}\\=(25)(1.18)^{4}\\=48.47$

Rounding to nearest whole number, it is 48.

ANSWER: 48