Answer:
The  equation  7 m + 15  m = 44 is the equation that can be used to determine the number of small cars rented and the number of large cars rented.
where, m : Number of large cars rented
Step-by-step explanation:
The number of people small car can hold  = 5
The number of people large car can hold  = 7
Let us assume the number of large cars rented  = m
So, the number of smaller cars rented = 3 x ( Number of large cars rented)
= 3 m
Now, the number of people in m large cars  = m x ( Capacity of 1 large car)
= m x ( 7) Â = 7 m
And, the number of people in 3 m small  cars  = 3 m x ( Capacity of 1 small car) = 3 m x ( 5)  = 15  m
Total people altogether going for the plan = 44
⇒ The number of people in ( Small +Large) car  = 44
or, 7 m + 15 Â m = 44
Hence,  the equation  7 m + 15  m = 44 is the equation that can be used to determine the number of small cars rented and the number of large cars rented.
We define variable as
Let x be the number of small cars and y be the number of large cars.
Since ,
Each small car can hold 5 people and each large car can hold 7 people.
i.e. Number of people in x cars = 5x
Number of people in y cars = 7y
The students rented 3 times as many small cars as large cars, implies
y=3(x)
They altogether can hold 44 people.
i.e. 5x+7y=44
Thus , the system of equations that could be used to determine the number of small cars rented and the number of large cars rented :
[tex]y=3(x)[/tex]
[tex]5x+7y=44[/tex]
