A graphic designer charges an hourly rate. In July, the only expense is for advertising. The function graphed models the designer's net income, y, for July for x hours of work.Select True or False to describe each statement. The x-intercept represents the amount the designer charges for 1 h of work. The difference between 0 and the y-intercept represents the amount the designer spent on advertising. The slope represents the designer's hourly rate.

From the graph shown, the x-axis repredent the time worked while the y-axis represent the net income.

The x-intercept is the value of x when y is zero, thus from the graph, the x-intercept represents the number of hours he has to work to cover for his expenses.

Therefore, the statement "The x-intercept represents the amount the designer charges for 1 h of work." is false.

The y-intercept is the value of y when x is 0, from the graph the y intercept represent the net income when he has not done any work, i.e. the y-intercept represent his expenses.

Therefore, the statement "The difference between 0 and the y-intercept represents the amount the designer spent on advertising." is true.

The slope of a straight line is given by the change in y divided by the corresponding change in x. From the graph, given that the y-axis represent the net income in dollars and the x-axis represent the time worked in hours. Change in y divided by change in x is given by dollars per hour which represent his hourly charge.

Therefore, the statement "The slope represents the designer's hourly rate." is true.