Final answer:
To determine the expected number of pick-up trucks among the first 68 vehicles rented today, a proportion is set up using yesterday's rental data. The calculation results in a value close to 16, which is the nearest whole number and corresponds to the provided option A.
Step-by-step explanation:
The student has asked how many of the first 68 vehicles rented today should be expected to be pick-up trucks based on yesterday's rental data where 11 pick-up trucks and 33 other vehicles were rented. To solve this, we can set up a proportion using the ratio of pick-up trucks to total vehicles rented yesterday, which is 11 pick-up trucks to 44 total vehicles (11 trucks + 33 other vehicles).
The proportion will be:
11 pick-up trucks / 44 total vehicles = x pick-up trucks / 68 total vehicles
Solving for x gives us:
(11/44) * 68 = x
Multiplying through:
11 * 68 / 44 = x
Simplifies to:
x = 17
However, since 17 is not one of the options provided, we must consider that the number of pick-up trucks must be a whole number. The closest number in the options provided to 17 is 16, which should be the expected number of pick-up trucks rented.
The answer to the question is: A. 16