Use Polya’s four-step problem-solving strategy to solve each of the following exercises. Find two consecutive positive integers whose product is 240.
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.
Use Polya’s four-step problem-solving strategy to solve each of the following exercises.
- Find two consecutive positive integers whose product is 240.
- The denominator of each fraction exceeds its numerator by 4. If 6 is added to the numerator and 2 is subtracted from the denominator, the resulting fraction equals 5. Find the fraction. (Hint: Use rational expression)
- Soledad is going to buy 30 multi-vitamin capsules, some P10 and some P18. If she has P340, what is the maximum number of P18 multi-vitamin capsules she can buy? (Use inequality)
- How many different ways can a manager and supervisor select from an IT company branch in Manila if there are 8 employees available? (Hint: Use permutation)
- The population of a small island is growing continuously at the rate 2% per year. Estimate to the nearest thousand the population of the island after 20 years, given that the population is now 70,000. (Hint: Use continuous growth formula)
- Find the sum of the first ten terms of the arithmetic sequence in which the first is 3 and the difference of each term is 4.
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