Assume an exponential function has a starting value of 16 and a decay rate of 0.52%. Write an equation to model the situation.

Step-by-step explanation:

The exponential function is modeled using the equation:

Where the plus sign indicates growth and the negative sign indicates exponential decay.

For an exponential function has a starting value of 16 and a decay rate of 0.52%.

This gives:

The function that models this situation is:

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.