Attempt $4$: $2$ attempts remaining.

With the current housing market situation in the United States, it is estimated that the number of houses built, $H(t)($in millions$)$ over the next $5$ years, is related to the mortgage rate, $r(t)($percent per year$),$ and can be modeled by the equation:

$7H(t{)}^2+r(t)=25$

Find the rate of change of the number of houses being built with respect to time when the mortgage rate is $4\%$ per year and is increasing at $0\mathrm{.}2\%$ per year. $($Round your answer to the nearest whole number.$)$

The number of houses built is $$ by $$