Write and solve an equation for each situation. Check your solution.
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 ** 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 \ N Travel to have the better deal?
To find : It is being asked to find that the Shirley’s vacation should be for M&N travel to be better deal.
Answer to Problem 11P
Minimum number of days is 10.
Explanation of Solution
Given information: There are two types of travels namely ABC travel and M&N travel.
They offer their own prices. Travel ABC’s fixed cost is $295 and variable cost is $39.
Travel M&N offer fixed cost as $350 and variable cost as $33.
Calculation:
To make M&N travel as better, we need to go for more than some number of days for tour.
Let’s assign variable for number of days we travel as ‘ x’ .
So, total cost for ABC travel is
Total cost for M&N travel is
To make M&N travel better deal, we can set up inequality as
Solve the equation for ‘ x’ .
Subtract both sides by 39x
Subtract both sides 350
Divide both sides by -6
So, minimum number of days the M&N travel to have better deal as more than 9.1666…. So, it is 10 or more days.
Chapter 2 Solutions
High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
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