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On average, 45 cars pass through a paticular toll booth each hour, At 8 a.m, 75 cars have passes throught the toll booth.

Which equation represents the total number of cars, T, that have passed through the toll at h hours after 8 a.m.?
A.T=45h+75
B.T=45(h+75)
C.T=75h+45
D.T=75(h+45)

1 answer

To find the total number of cars, \( T \), that have passed through the toll booth \( h \) hours after 8 a.m., we consider the number of cars that pass each hour and the initial number of cars that have already passed by 8 a.m.

  1. Initial Cars at 8 a.m.: 75 cars have already passed through by 8 a.m.
  2. Cars Passing per Hour: On average, 45 cars pass through each hour.

So, after \( h \) hours, the total number of cars that have passed through is the initial 75 cars plus 45 cars for each of the \( h \) hours.

The equation representing this situation is:

\[ T = 75 + 45h \]

This equation can also be rewritten as:

\[ T = 45h + 75 \]

Hence, the correct answer is:

A. \( T = 45h + 75 \)