Answer:
At f(3), Clara makes _70_ dollars, and at f(5), Clara makes _110_ dollars.
Clara charges _x_ dollars per hour to babysit.
Enter the words "more", "less", or "the same amount of" to complete the statement below, and interpret the information about the function.
Clara makes _more_ money working 5 hours compared to working 3 hours.
Step-by-step explanation:
The profit that Clara makes babysitting is given by the linear function f(x) = 20x + 10.
First, substitute 3 for x in the function to evaluate f(3), as shown below.
Next, substitute 5 for x in the function to evaluate f(5), as shown below.
Therefore, Clara makes 70 dollars at f(3) and 110 dollars at f(5). Consequently, since x represents the number of hours that she works, Clara makes more money working 5 hours compared to working 3 hours.
Since the profit function is linear and in slope-intercept form, the amount that Clara chargers per hour to babysit is the slope of the line, or 20 dollars per hour.
