Question
Which of these linear equations best describes the given model?
y=-0.5x+40
Based on this equation, estimate what percent of adults smoked in
\[1997\].
Round your answer to the nearest tenth of a percent.
%
y=-0.5x+40
Based on this equation, estimate what percent of adults smoked in
\[1997\].
Round your answer to the nearest tenth of a percent.
%
Answers
GPT-4o mini
To estimate the percentage of adults who smoked in 1997 using the equation \( y = -0.5x + 40 \), we first need to determine the value of \( x \) that corresponds to the year 1997.
Assuming \( x \) represents the number of years since 1990, then:
\[
x = 1997 - 1990 = 7
\]
Now we can substitute \( x = 7 \) into the equation:
\[
y = -0.5(7) + 40
\]
Calculating this step-by-step:
1. First, multiply \(-0.5\) by \(7\):
\[
-0.5 \times 7 = -3.5
\]
2. Next, add this result to \(40\):
\[
y = -3.5 + 40 = 36.5
\]
So, based on the equation, the estimated percentage of adults who smoked in 1997 is:
\[
\boxed{36.5} \%
\]
Assuming \( x \) represents the number of years since 1990, then:
\[
x = 1997 - 1990 = 7
\]
Now we can substitute \( x = 7 \) into the equation:
\[
y = -0.5(7) + 40
\]
Calculating this step-by-step:
1. First, multiply \(-0.5\) by \(7\):
\[
-0.5 \times 7 = -3.5
\]
2. Next, add this result to \(40\):
\[
y = -3.5 + 40 = 36.5
\]
So, based on the equation, the estimated percentage of adults who smoked in 1997 is:
\[
\boxed{36.5} \%
\]