Question

The Arlington Math Team is taking small buses to its regional competition.Each bus holds only eight people and there are 35 students and two faculty advisors going on the trip.
If n represents the number of buses needed for the trip, write an inequality that models the different values of n that can get the Arlington Math Team to regionals.


Solve the inequality and state the least number of buses needed to transport the Math Team.

Answer 1

The inequality that models this situation is:

$8n \geq 37$

Solving the inequality, it is found that 5 is the least number of buses needed to transport the Math Team.

Since in each bus holds eight people, with n buses, the total number of people is given by:

$T = 8n$

There are 35 students, and two faculty advisors going on the trip, hence, the inequality is:

$T \geq 35 + 2$

$T \geq 37$

$8n \geq 37$

To solve the inequality, we treat it similarly to an equality, thus:

$8n \geq 37$

$n \geq \frac{37}{8}$

$n \geq 4.625$

There has to be a whole number of buses, thus 5 is the least number of buses needed to transport the Math Team.

A similar problem is given at https://brainly.com/question/14361489