16. According to the graph, which of the following is true? *Check ALL that apply.

(2 points)
Responses

Reliable Robert has a steeper rate of change than Lenny's Limos.
Reliable Robert has a steeper rate of change than Lenny's Limos.

Fast and Furious initially has a larger fixed cost than Lenny's Limos; but has a lower rate of change.
Fast and Furious initially has a larger fixed cost than Lenny's Limos; but has a lower rate of change.

All three have the same y-intercept.
All three have the same y-intercept.

Lenny's Limos has a lower initial amount of fixed cost than the other two
Lenny's Limos has a lower initial amount of fixed cost than the other two

Lenny's Limos has a larger slope than Fast and Furious.

1 answer

To provide a correct response, I would need to see the graph referred to in the question, as it contains the necessary information regarding the rates of change (slopes) and fixed costs (y-intercepts) of Reliable Robert, Fast and Furious, and Lenny's Limos.

However, here are some general guidelines for analyzing the statements regarding rates of change and fixed costs if you have the graph:

  1. Steeper Rate of Change: Identify the slope of each line on the graph. The steeper the line, the larger the rate of change. If Reliable Robert's line is steeper than Lenny's Limos, then that statement is true.

  2. Fixed Cost: The fixed cost can be determined by where each line intersects the y-axis (the y-intercept). If Fast and Furious starts higher up on the y-axis than Lenny's Limos, then it has a larger initial fixed cost, though you would also need to compare their slopes.

  3. Same Y-Intercept: Check if all three lines cross the y-axis at the same point. If they do, then the statement about having the same y-intercept is true.

  4. Initial Fixed Cost Comparison: Compare the y-intercepts for Lenny's Limos with those of Reliable Robert and Fast and Furious to see if it has the lowest fixed cost.

  5. Comparison of Slopes: Look at the angles of the lines to determine if Lenny's Limos has a larger slope than Fast and Furious.

Once you analyze the graph based on the criteria mentioned, you’ll be able to check the applicable statements accordingly. If you have any specific values or further context from the graph, feel free to share, and I can give a more detailed analysis!