Exam 1: Problem Solving

Use inductive reasoning to find a pattern for the answers. Then use the pattern to guess the result of The final calculation, and perform the operation to see if your answer is correct.

For a specific year, the average household income for selected states is shown here. Estimate the Difference between the highest and lowest average incomes.

Use deductive reasoning to arrive at a conclusion. On Christmas Day, Japanese restaurants and ski slopes are always open, so this Christmas Day we can

Arrange the digits 3, 4, and 9 to form two numbers divisible by 6.

Jane has 15 phone cards worth either $20 or $15. How many of each does he have if the phone Cards total $245?

Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence.

The length of a garden is double its width. There is a fence around the perimeter that measures 114 ft. What are the length and width of the garden?

A car travels 348 miles on 5.6 gallons of gasoline. How many miles per gallon did the car get? (Round to the nearest tenth.)

Use inductive reasoning to find a pattern for the answers. Then use the pattern to guess the result of The final calculation, and perform the operation to see if your answer is correct.

Use inductive reasoning to conjecture the rule that relates the number you selected to the final answer. Try to prove your conjecture using deductive reasoning. Select a number: Multiply by 7: Subtract 56 from the Divide by 7: Subtract the original number:

Write a counter example to show that the statement is false. When any number is multiplied by 5 and the digits of the answer are added, the sum will be divisible by 5.

Read the following scenario and determine whether the type of reasoning used by Paul is inductive or deductive. Explain how you decided. Paul knew that his friend, Leanne, had been late the past 8 workdays, so he didn't save a seat for her at morning meeting.

Phil has 12 stamps of denominations $0.37 and $0.23. If the total value of the stamps is $4.02 how Many $0.37 stamps does Phil have?

The demographics of an elementary school are shown below. The school has 291 students. Estimate the number of students who are White Non-Hispanic.

Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence.