Based on a recent study, the probability that someone is a smoker decreases with the person's income. If someone's family income is x thousand dollars, then the probability (expressed as a percentage) that the person smokes is approximately y = −0.31x + 40 (for 10 ≤ x ≤ 100).† Round your answers to the nearest percent.(a)Graph this line on the window [0, 100] by [0, 50].The x y-coordinate plane is given. The line enters the window at y = 40 on the positive y-axis, goes down and right, passes through the point (100, 24), and exits the window in the first quadrant. The x y-coordinate plane is given. The line enters the window at y = 40 on the positive y-axis, goes down and right, passes through the point (100, 36.9), and exits the window in the first quadrant. The x y-coordinate plane is given. The line enters the window at y = 40 on the positive y-axis, goes down and right, passes through the point (100, 9), and exits the window in the first quadrant. The x y-coordinate plane is given. The line enters the window at y = 40 on the positive y-axis, goes down and right, and exits the window at approximately x = 98 on the positive x-axis.(b)What is the probability that a person with a family income of $30,000 is a smoker? [Hint: Since x is in thousands of dollars, what x-value corresponds to $30,000?]

Based on a recent study, the probability that someone is a smoker decreases with the person's income. If someone's family income is x thousand dollars, then the probability (expressed as a percentage) that the person smokes is approximately y = −0.31x + 40 (for 10 ≤ x ≤ 100).† Round your answers to the nearest percent.(a)Graph this line on the window [0, 100] by [0, 50].The x y-coordinate plane is given. The line enters the window at y = 40 on the positive y-axis, goes down and right, passes through the point (100, 24), and exits the window in the first quadrant. The x y-coordinate plane is given. The line enters the window at y = 40 on the positive y-axis, goes down and right, passes through the point (100, 36.9), and exits the window in the first quadrant. The x y-coordinate plane is given. The line enters the window at y = 40 on the positive y-axis, goes down and right, passes through the point (100, 9), and exits the window in the first quadrant. The x y-coordinate plane is given. The line enters the window at y = 40 on the positive y-axis, goes down and right, and exits the window at approximately x = 98 on the positive x-axis.(b)What is the probability that a person with a family income of $30,000 is a smoker? [Hint: Since x is in thousands of dollars, what x-value corresponds to$30,000?]