Logical reasoning and variation

Question 1 of 10

If y ∝ x² and y = 18 when x = 3, find y when x = 4.

Question 2 of 10

What is the contrapositive of "If it rains, the ground is wet"?

Question 3 of 10

A statement that is always true, whatever the truth values of its parts, is a

Question 4 of 10

y varies inversely as the square of x. When x = 2, y = 9. Find y when x = 3.

Question 5 of 10

The time to complete a job varies inversely as the number of workers. 12 workers take 15 days. How many workers are needed to finish in 9 days?

Question 6 of 10

x varies inversely as the square of y, and x = 4 when y = 3. Find x when y = 2.

Question 7 of 10

y varies inversely as x, and y = 6 when x = 4. Find y when x = 3.

Question 8 of 10

Which statement is the contrapositive of "If a number is even, it is divisible by 2"?

Question 9 of 10

If y ∝ √x and y = 6 when x = 9, find x when y = 10.

Question 10 of 10

What is the converse of "If x = 2, then x² = 4"?