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**Question 1: ****The dimension of a bedroom was . Calculate the number of square tiles of dimension required to cover the floor of the bedroom?**

**Answer: **36 nos.

**Explanation: **We need to calculate the area of the room and the area of the tile to solve the problem.

**Question 2: ****A bus travels 280 miles by consuming 7 gallons of gas. How many gallons of gas would be needed to drive 120 miles?**

**Answer: **3 gallons

**Explanation: **We need to establish a relationship between distance traveled and gas consumed.

**Question 3: ****A manufacturer is earning a profit of $1500 by making 50 units of product. Find the profit earned by the manufacturer, if he scales up the production to 175 units.**

**Answer: **$5250

**Explanation: **The profit earned and the product manufactured is directly related to each other. Write a relationship between these quantities.

**Question 4: ****The boat has 14 mph speed in still water. Find the time required to cover a distance of 88 miles, when the boat is going downstream. Assume the speed of the water in the river as 2 mph.**

**Answer: **5.5 hours

**Explanation: **When going downstream, we need to add the speed of the boat and the speed of the river, to get the net speed.

**Question 5: ****How much space would be inside cardboard with dimensions ?**

**Answer: **1536** **cubic inches

**Explanation: **Space inside the cardboard would be the volume of the cardboard.

**Question 6: ****The volume of a pyramid with an 11-inch height is 550 cubic inches. Find the base area of the pyramid.**

**Answer: **150 square inches

**Explanation: **Rewrite the volume of the pyramid equation to find the base area.

**Question 7: ****Rearrange the following equation to find the acceleration (a)**

**Answer: **

**Explanation: **Rewrite the formula to highlight the acceleration.

**Question 8: ****The fixed cost of renting a car for a day is $45, and the charge per mile is $0.11/mile. Write a mathematical equation that models the cost.**

**Answer: **.

**Explanation: **Let the variable , represents the distance covered by the car in miles.

**Question 9: ****Use mathematical modeling to find the set of two numbers. Where one number exceeds the second number by 16. And, the second number is thrice more than the first number.**

**Answer: **The first number is 4. And, the second number is 12.

**Explanation: **Let the variable , represents the first number. And represents the second number.

**Question 10: ****The fixed monthly cost of a telecom company A is $30 and a rate of 0.3/min talk time. Another company B has a fixed cost of $40 and a rate of 0.25/min. Which company has a cheaper price for using 400 mins?**

**Answer: **Company B has a cheaper price for using 400 mins.

**Explanation: **Let the variable , represents the number of minutes used.