Math / Data & Statistics

QuestionThe percentage of the adult population that smokes can be modeled by the function $P(x)$ whose graph is shown below. The input $x$ is years after 1955.
In what year did the percentage of smokers start dropping below $20 \%$ ? The year that the percentage of smokers dropped below $20 \%$ is $\square$ .

Studdy Solution

STEP 1

1. The function $P(x)$ represents the percentage of the adult population that smokes.
2. The x-axis represents years after 1955.
3. The y-axis represents the percentage of smokers.
4. The graph shows a downward trend.

STEP 2

1. Identify the x-value where the graph crosses the 20% mark.
2. Calculate the corresponding year.

STEP 3

Identify the x-value where the graph crosses the 20% mark. According to the image description, this occurs around the x-value of 40.

STEP 4

Calculate the corresponding year by adding the x-value to 1955:
$\text{Year} = 1955 + 40 = 1995$
The year that the percentage of smokers dropped below 20% is:
$\boxed{1995}$

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