Hiro painted his room. After 3 hours of painting at a rate of 8 square meters per hour, he had 28 square meters left to paint.Let y represent the area (in square meters) left to paint after x hours.Which of the following information about the graph of the relationship is given?Choose 1 answer:(A) Slope and x-intercept(B) Slope and y-intercept(C) Slope and a point that is not an intercept(D) x-intercept and y intercept(E) y-intercept and a point that is not an intercept(F) Two points that are not intercepts
Q. Hiro painted his room. After 3 hours of painting at a rate of 8 square meters per hour, he had 28 square meters left to paint.Let y represent the area (in square meters) left to paint after x hours.Which of the following information about the graph of the relationship is given?Choose 1 answer:(A) Slope and x-intercept(B) Slope and y-intercept(C) Slope and a point that is not an intercept(D) x-intercept and y intercept(E) y-intercept and a point that is not an intercept(F) Two points that are not intercepts
Calculate Initial Area: Determine the initial area left to paint before Hiro starts painting.Hiro has painted for 3 hours at a rate of 8 square meters per hour. To find the initial area, we need to add the area he has painted to the area left to paint.Calculation: 3 hours ×8 square meters/hour = 24 square meters paintedInitial area left to paint = 24 square meters + 28 square meters left = 52 square meters
Write Equation: Write the equation that represents the relationship between the area left to paint y and the hours spent painting x. Since Hiro paints at a constant rate, the slope m of the line representing this relationship is the negative of the rate of painting because the area left to paint decreases as time increases. Slope m = −8 (since the area decreases by 8 square meters per hour) The y-intercept b is the initial area left to paint, which is 52 square meters. Equation: y=−8x+52
Identify Given Information: Identify the given information based on the equation y=−8x+52.The slope of the line is given by the coefficient of x, which is −8.The y-intercept of the line is given by the constant term, which is 52.Therefore, the information given is the slope and the y-intercept.
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