The Jefferson and Spangler families are both traveling to Florida for Christmas vacation.The Jefferson's trip is represented in the graph below.The Spangler's trip is represented by the equation y = 55x(2 points)The Jefferson family is traveling at a rate ofmiles per hour.The Spangler family is traveling at a rate ofmiles per hour.

1 answer

To determine the traveling rates of the Jefferson and Spangler families, we can analyze the provided information, but please note that I can't see the actual graph you're referring to. However, I can help guide you on how to extract that information.

  1. For the Jefferson Family:

    • If the graph shows the distance traveled over time, you can find the slope of the line (rise/run), which represents the speed or rate (in miles per hour).
    • Identify two points on the line (e.g., \((t_1, d_1)\) and \((t_2, d_2)\)).
    • The formula for the rate is:

    \[ \text{Rate} = \frac{d_2 - d_1}{t_2 - t_1} \]

  2. For the Spangler Family:

    • The equation \(y = 55x\) indicates that the Spangler family travels at a constant rate.
    • Here, \(y\) represents the distance traveled, and \(x\) represents the time in hours. The coefficient of \(x\) (which is 55) is their speed, so the Spangler family is traveling at 55 miles per hour.

Please provide specific points from the graph if you want detailed help in calculating the Jefferson family's speed!