Predicting the Year of Zero High School Smokers

The video tutorial explains how to use a linear equation to predict when there will be zero high school smokers per 100 students. The equation is based on the number of years since 2011. By setting the y-value to zero, the x-intercept is found, which represents the year when there will be no smokers. The solution shows that this occurs approximately in the year 2020. A graph of the equation is also presented to visually confirm the result.

What is the main goal of using the given equation in the context of high school smokers?

• To determine the increase in smokers over time

• To calculate the average number of smokers per year

• To predict the year when there will be zero smokers per 100 students

• To find the number of smokers in 2011

In the equation, what does the variable 'x' represent?

• The year when there will be zero smokers

• The total number of students

• The number of years since 2011

• The number of smokers per 100 students

How do you find the x-intercept of the linear equation?

• By calculating the slope of the line

• By finding the midpoint of the line

• By setting y to zero and solving for x

• By setting x to zero and solving for y

What is the approximate value of x when y equals zero in the given equation?

• 8.5

• 9.14

• 7.9

• 10.2

What year does the x value of approximately 9.14 correspond to?

• 2022

• 2021

• 2019

• 2020

What is the significance of the x-intercept in the context of the problem?

• It represents the year when the number of smokers will be at its peak

• It indicates the year when there will be zero smokers per 100 students

• It shows the average number of smokers per year

• It marks the starting point of the data collection

What does the graph of the equation y = -1.75x + 16 illustrate?

• The decrease in smokers over time

• The constant number of smokers over time

• The increase in smokers over time

• The fluctuation in the number of smokers

How many years after 2011 does the model predict there will be zero high school smokers per 100?

• 10 years

• 9 years

• 8 years

• 7 years