Question

The Screaming Salamanders, a new rock band, released their new music video early for subscribers of their fan page. When the video was released to the public, it already had 2,642 views. One day later, the number of views increased to 3,963, and the band expects that the number of views will continue to grow each day. Write an exponential equation in the form y=a(b)x that can model the total number of views, y, x days after the music video was released to the public. Use whole numbers, decimals, or simplified fractions for the values of a and b.

Answer 1

The exponential equation that can model the total number of views x days after the video was released is y = 2,642(1.5)^x.

Step-by-step explanation:

The given problem can be modeled using an exponential equation of the form y = a(b)^x, where y represents the total number of views, x represents the number of days after the music video was released to the public, a represents the initial number of views, and b represents the growth factor.

To find the values of a and b, we can use the given information. On the day the video was released to the public, it had 2,642 views. One day later, the number of views increased to 3,963.

This means that the initial number of views a is 2,642 and the growth factor b can be found by dividing the final number of views by the initial number of views: b = 3,963 / 2,642 = 1.5.

Therefore, the exponential equation that can model the total number of views x days after the video was released is y = 2,642(1.5)^x.