Question 1146999
Let the current year be {{{ t = 0 }}}
{{{ P[0] = 41000 }}}
Let the population at year {{{ t }}} = {{{ P }}}
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You are given the two points:
( 0, 41000 )
( t, 38025 )
You are given the slope:
{{{m = -175 }}}
Assuming the equation is linear,
{{{ P = m*t + P[0] }}}
{{{ P = -175t + 41000 }}}
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Find {{{ t }}} at the point ( t, 38025 )
{{{ 38025 = -175t + 41000 }}}
{{{ 175t = 2975 }}}
{{{ t = 17 }}} years
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Just use {{{ x }}} instead of {{{ t }}} as
they wish