Shirley/Tracey has to stay at least 10 days for the M and N to cost less
Answer:
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 [tex]39x+295[/tex].
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 [tex]33x+350[/tex].
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:
[tex]39x+295>33x+350[/tex]
[tex]39x-33x+295>33x-33x+350[/tex]
[tex]6x+295>350[/tex]
[tex]6x+295-295>350-295[/tex]
[tex]6x>55[/tex]
[tex]\frac{6x}{6}>\frac{55}{6}[/tex]
[tex]x>9.166[/tex]
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.
