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
To find the point where the cost is the same for both the bus and the taxi, we need to find where the two lines intersect on the graph.
To do this, we can set the equations for the cost of the bus and the taxi equal to each other and solve for the distance:
Bus: y = 0.6x + 5
Taxi: y = 1.2x
0.6x + 5 = 1.2x
5 = 0.6x
x = 5 / 0.6
x = 8.33
Since we are looking for whole numbers in terms of miles, we can round up to the nearest whole number. Therefore, it appears to cost the same for both the bus and the taxi after 9 miles.
Therefore, the answer is not one of the options provided, but it is at 9 miles.