Suppose the number of Internet domain hosts grew according to the rule Next year's number = 1.47 × Current number. If the number of domain hosts initially was 8.4 million, find an exponential function that gives the number of hosts, H, in terms of time, t A)H = 1.47 × (8.4)^t B)H = 1.47 + (8.4)^t C)H = 8.4 + (1.47)^t D)H = 8.4 × (1.47)^t

Question

Quizplus · Accepted Answer

The growth model is exponential and has the formula Next year's number = 1.47 × Current number. This can be written as H = 1.47H0, where H0 is the initial number of domain hosts. Using the given initial number of 8.4 million, we get H = 8.4 × (1.47)t. Therefore, the exponential function that gives the number of hosts, H, in terms of time, t, is H = 8.4 × (1.47)t.

Suppose the Number of Internet Domain Hosts Grew According to the Rule