Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
- A specific car’s fuel economy in miles per gallon can be approximated by f(x) = 0.00000056x4 – 0.000018x3 +1.38x- 0.38, where x represents the car’s speed in miles per hour. Determine the fuel economy when the car is traveling 40, 50, and 60 miles per hour.
Process Questions:
- What is f(40)?, f(50)?, and f(60)?
- Which car speed maximizes fuel consumption?
- Can you suggest some ways or tips on how to save fuel?
- What do you think is the best way to save fuel? Why?
- How did the modelling process help you answer the different problems?
- How do values of one variable behave in terms of the other in the polynomial function that models a real- world situation?
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