Question

which answers are examples of inductive reasoning? select each correct answer. □ john saw wild turkeys in his yard during the past 3 years. he will see wild turkeys in his yard next year. □ mrs. smith notices that the first 10 students who enter her class are female. therefore, she expects that all the students in her class will be female. □ the cinema charges $5 to see a movie. four friends are going to the cinema to see a movie. therefore, altogether they will pay $20 to see the movie. □ all right triangles have a 90° angle. triangle abc is a right triangle. therefore, triangle abc has a 90° angle.

Explanation:

Inductive reasoning involves making generalizations or predictions based on specific observations or past experiences.

• For the first option: John uses his past 3 years of seeing wild turkeys to predict he'll see them next year (specific past → general future prediction).
• For the second option: Mrs. Smith uses the first 10 female students (specific observation) to generalize that all students in the class are female.
• The third option is deductive (using a known rate to calculate total cost: $5×4 = $20, following a rule).
• The fourth option is deductive (using the general rule about right triangles to conclude about triangle ABC).

Answer:

• John saw wild turkeys in his yard during the past 3 years. He will see wild turkeys in his yard next year.
• Mrs. Smith notices that the first 10 students who enter her class are female. Therefore, she expects that all the students in her class will be female.