Inverse proportional

Question

The percentage of people who say they trust the government in Washington “always or most of the time” is inversely proportional to x^0.429 where x is the number of years after 1960. This percentage was 89.773 in 1963. What is the function of this situation rounding k to thousandths?

Answer 1

y = k/x^0.429

y = 89.773 when x =3

89.773 = k/3^(0.429)

89.773 * 3^(0.429) = k

k = 143.824

y = 142.824/x^0.429

Currently, x=59 means y = 24.837 or just under 25% of the population trusts the government.