Question 1029083
You can't really find solutions without either
a table of logs, or a calculator with log functions
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{{{ N(t) = 1.09*1.3^t }}}
{{{ log( N(t) ) = log( 1.09 ) + t*log( 1.3 ) }}}
(A)
The number of cars and light trucks sold in China in 2000
{{{ N(t) = 1.09*1.3^0 }}}
{{{ log( N(t) ) = log( 1.09 ) + 0*log( 1.3 ) }}}
{{{ N(t) = 1.09 }}}
1.09 million vehicles
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The number of cars and light trucks sold in China in 2010
{{{ N(10) = 1.09*1.3^10 }}}
{{{ log( N(10) ) = log( 1.09 ) + 10*log( 1.3 ) }}}
{{{ log( N(10) ) = .03743 + 10*.11394 }}}
{{{ log( N(10) ) = .03743 + 1.1394 }}}
{{{ log( N(10) ) = 1.17683 }}}
{{{ N(10) = 10^1.17683 }}}
{{{ N(10) = 14.991 }}}
15 million vehicles
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You can finish for 2014
here's the plot:
{{{ graph( 600, 600, -5, 17, -5, 30, 1.09*1.3^x ) }}}