Question

If d varies directly as t²., then we can write dt² = k, where k is some constant. State whether the statement is true (T) or false (F).

• A. True
• B. False

Answer 1

The correct option is B False

If d varies directly as t², then we can write dt² = k, where k is some constant – False

We can write dt² = k, where k is some constant if d varies inversely with t².

Since two quantities x and y are said to be in inverse proportion if an increase in x causes a proportional decrease in y and vice versa, the product of their respective values remains constant, an increase in x causes a proportional decrease in y and vice versa.

Inverse Proportion

The value is said to be inversely proportional when one value increases, and the other decreases. Two quantities a and b are said to be in inverse proportion if an increase in quantity a, there will be a decrease in quantity b, and vice-versa. In other words, the product of their corresponding values should remain constant.

That is, if ab = k, then a and b are said to vary inversely. In this case, if b₁, b₂ are the values of b corresponding to the values a₁, a₂ of a, respectively then a₁ b₁ = a₂ b₂ or a₁/a₂ = b₂ /b₁