Tracey is looking at two different travel agencies to plan her vacation. abc travel offers a plane ticket for $295 and a rental car for $39 per day. m and n travel offers a plane ticket for $350 and a rental car for $33 per day. what is the minimum number of days that shirley’s vacation should be for m and n travel to have the better deal?

10 days.

Step-by-step explanation:

Let d represent number of days.

We have been given that ABC Travel offers a plane ticket for $295 and a rental car for $39 per day. The total cost of travelling x days using ABC travel company would be .  

We have been given that M and N Travel offers a plane ticket for $350 and a rental car for $33 per day. The total cost of travelling x days using M and N travel company would be .

To make M and N travel the better deal, we will set an inequality, where total cost of x days using ABC travels is greater than M and N travels as:

Since the closest integer to 9.1677 is 10, therefore, for a vacation of 10 days using M and N travels will be the better deal.

linear pair postulates