A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip. Each small car can hold 5 people and each large car can hold 7 people. The students rented 3 times as many small cars as large cars, which altogether can hold 44 people. Write a system of equations that could be used to determine the number of small cars rented and the number of large cars rented. Define the variables that you use to write the system.

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 rentedStep-by-step explanation:The number of people small car can hold  = 5The number of people large car can hold  = 7Let us assume the number of large cars rented  = mSo, 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)  = 7 mAnd, the number of people in 3 m small  cars  = 3 m x ( Capacity of 1 small car) = 3 m x ( 5)  = 15  mTotal people altogether going for the plan = 44⇒ The number of people in ( Small +Large) car  = 44or, 7 m + 15  m = 44Hence,  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.