Question

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.

Answer 1

The x-intercept represents the amount the designer charges for 1 h of work.

False

The difference between 0 and the y-intercept represents the amount the designer spent on advertising.

True

The slope represents the designer's hourly rate.

True

This is just for other people that might see this. these are right bc i took the test, I hope this helps.

Answer 2

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.