Question 8
Consider the situation for the question below. Toll booths are used to collect money from drivers who use a particular road.
On average, 45 cars pass through a particular toll booth each hour. At 8 am, 75 cars have passed through the toll booth.
Which equation represents the total number of cars, 𝑻, that have passed through the toll booth 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)
The equation that represents the total number of cars, T, that have passed through the toll booth at h (hours after 8 a.m.) is:
t = 45h + 75
So, the correct option is a. t = 45h + 75
To find the equation that represents the total number of cars that have passed through the toll booth at 𝒉 hours after 8 am, we need to consider the given information.
We know that on average, 45 cars pass through the toll booth each hour. Additionally, at 8 am, which is 0 hours after 8 am, 75 cars have already passed through the toll booth.
Based on this information, we can write the equation as follows:
𝑻 = 45𝒉 + 75
Therefore, the correct answer is option a: 𝑻 = 45𝒉 + 75.
To answer this question, we need to understand the given information and how it relates to the total number of cars passing through the toll booth.
According to the given information, on average, 45 cars pass through the toll booth each hour. This means that for each additional hour, 45 more cars will pass through the toll booth.
At 8 am, which is the starting time, 75 cars have already passed through the toll booth. This means that in the first hour (from 8 am to 9 am), there have been 75 + 45 = 120 cars passing through the toll booth.
Based on this understanding, we can conclude that the equation representing the total number of cars, 𝑻, that have passed through the toll booth at 𝒉 (hours after 𝟖 a.m.) is:
t = 45h + 75
Therefore, the correct answer is option a. t = 45h + 75.