The prevalence of cigarette smoking in the united states is in decline if the percentage of smokers in 2014 was 16.7% and the pe rcentage is decreasing by 5.6% each year, write the explicit formula for the sequence whose terms represent the percentage of americans who smoke n years after 2014. 1. an=-16.7n-5.6
2 an=16.7n-5.6
3. an=-5.6n+16.7
4 an=5.6n+16.7
1 answer:
The linear formula for the sequence whose terms represent the percentage of americans who smoke n years after 2014 is:
<h3>What is a linear function?</h3>
A linear function is modeled by:
In which:
m is the slope , which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and for a time-dependent function, can also be interpreted as the initial value.
In this problem:
The percentage of smokers in 2014 was 16.7% , hence the initial value is The percentage is decreasing by 5.6% each year, hence the slope is .
Then, the <em>equation </em>is:
You can learn more about linear functions at brainly.com/question/24808124
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