Question

Find a mathematical model that represents the statement. (Determine the constant of proportionality.) 

P varies directly as x and inversely as the square of y. (p = 28/3 when x = 42 and y = 6.)

Write the quadratic function in standard form. 

f(x) = x² - 10x + 27 

Answer 1

Answer 8:

Data given:

"P varies directly as x and inversely as the square of y".

1. Now, as it is given that "P" varies directly as "x" (in the numerator) and inversely as the square of "y" (in the denominator), therefore we can write as -

where "k" is a constant of proportionality.

2.

Therefore, on substituting these values in the equation obtained in part(1), we get -

Thus, the value of constant of proportionality is 8 .