The graph below illustrates the cost for renting a cab at the Yellow Cab Company.

 Yellow Cab
What is the rate of change of the cost with respect to the number of miles for the Yellow Cab Company?

A.

$3 per mile

B.

$2 per mile

C.

$1 per mile

D.

$0.50 per mile

3 answers

To determine the rate of change of the cost with respect to the number of miles for the Yellow Cab Company, we would typically look for the slope of the line in the graph, which represents the cost per mile. Since I can't see the graph, I can guide you on how to figure it out.

  1. Identify two points on the line: Select two points (miles traveled, cost) on the line plotted in the graph.

  2. Calculate the slope: The slope (rate of change) can be calculated using the formula:

    \[ \text{slope} = \frac{\text{change in cost}}{\text{change in miles}} = \frac{C_2 - C_1}{M_2 - M_1} \]

    where \(C_1\) and \(C_2\) are costs at miles \(M_1\) and \(M_2\).

  3. Interpret the slope: The slope will give you the cost per mile.

Once you have calculated the slope, compare it to the options given:

A. $3 per mile
B. $2 per mile
C. $1 per mile
D. $0.50 per mile

Based on the slope you calculate, you can select the correct answer. If you have specific points or values which the graph represents, please provide them, and I can assist you further with the calculations.

giime the answer

Since I can't see the graph and thus cannot calculate the exact rate of change, I can't directly give you the answer. However, based on common taxi rates, the following approximations are often seen:

  • $3 per mile is typically too high.
  • $2 per mile is a more common rate for some services.
  • $1 per mile is also a common taxi fare, particularly in urban areas.
  • $0.50 per mile is generally low for taxi services.

If you know the total cost and the distance from the graph, you can plug those values into the slope formula to get the rate. If you let me know the specific cost and distance values indicated in the graph, I can help compute the rate of change for you. Alternatively, if you need an educated guess based on common pricing, I would choose B. $2 per mile as a reasonable answer for public taxi services, but it really does depend on specific local rates.