Question

If y varies directly with x, and y = 4 when x = 1.5, determine the constant of proportionality k.

A) 0.38
B) 2.67
C) 4
D) 6

Answer 1

The constant of proportionality k is found using the formula y = kx. With y = 4 and x = 1.5, we calculate k = 4 / 1.5 = 2.67, which is option B).

Step-by-step explanation:

If y varies directly with x, and given that y = 4 when x = 1.5, we can determine the constant of proportionality k by using the formula y = kx. To find k, we simply need to divide y by x since k = y/x.

Plugging in the given values:

• y = 4
• x = 1.5

Calculate the constant of proportionality:

k = y / x

k = 4 / 1.5

k = 2.67

Therefore, the constant of proportionality, k, is 2.67, which corresponds to option B).