Question

Matthew is debating whether he should take the bus or a taxi into the city. The graph shows the linear relationship between the number of miles and the cost for each mode of transportation.


Transportation
Cost (dollars)

Distance (miles)
After how many miles does it appear to cost the same for both the bus and the taxi?
Responses
A 88
B 55
C 66
D 12

Answer 1

To determine when the cost for both the bus and taxi is equal, you would generally look for the intersection point of the two linear graphs on the cost vs. distance graph.

Since I can't see the graph, I can't give you a specific number. However, you can find the solution by examining the graph for the point where the lines intersect.

Look closely at the points listed in the responses:

A) 88
B) 55
C) 66
D) 12

Check which of these points appears to be the point where the two lines meet. If you can find that intersection point on the graph corresponding to one of these miles, that will tell you after how many miles the cost is the same for both transportation options.

If you have the functions or equations for both the bus and taxi, you could also set them equal to each other and solve for the distance directly, but based on your description, checking the graph is the likely approach.