Question

The ordered pairs model an exponential function, where w is the function name and t is the input variable.

{(1, 60), (2, 240), (3, 960), (4, 3840)}

What is the function equation in sequence notation?

ANSWER: 60(4)t−1

just took the test

Answer 1

Answer: w(t) = 60 * 4^(t-1).

Explanation:

The given ordered pairs model an exponential function of the form w(t) = ab^t, where w is the function name, t is the input variable, a is the initial value, and b is the growth factor.

From the first ordered pair (1, 60), we can see that the initial value a is 60. From the second and third ordered pairs (2, 240) and (3, 960), we can see that the output value is multiplied by 4 when the input value increases by 1. This means that the growth factor b is 4.

So, the function equation in sequence notation is w(t) = 60 * 4^(t-1).