A company plans to organize employees to travel to H in June 5438+10, and the number of employees is estimated to be between 10-25. The service quality of the two travel agencies is the same, and the

A company plans to organize employees to travel to H in June 5438+10, and the number of employees is estimated to be between 10-25. The service quality of the two travel agencies is the same, and the group A company plans to organize employees to travel to a certain place in June 5438+February, and the estimated number is 10-25. The service quality of the two travel agencies is good, and the quotation for organizing a trip to this place is 500 yuan per person. A travel agency said that it can give each tourist a 7.5% discount, and B travel agency said that it can exempt one tourist's travel expenses and give the rest tourists a 20% discount. How does the company choose to make it pay less total travel expenses?

Let the number of people x and the total cost be y.

The functional relationship between the number of travel agencies and the cost is: y=500x*0.75=375x.

The functional relationship between the number of travel agencies and their expenses is: y=500(x- 1)*0.8=400x-400.

10 & lt； X & lt25 and x∈Z

From the functional point of view, we can know that the growth rate of y=400x-400 is relatively fast.

Solve equation 375x=400x-400. When x= 16, the quotations of the two travel agencies are equal.

Therefore, when the number of people does not exceed 16, you should choose the travel agency plan.

When the number of people is not less than 16, B travel agency scheme should be selected.