Question 554238
A linear function means it is a straight line
Plot {{{ t }}} on the horizontal axis
Plot {{{ E }}} on the vertical axis
You are given the points:
( 0,61.5 ) and
( 4,64.4 )
--------
Use the point-slope formula:
{{{ ( E - 61.5 ) / ( t - 0 ) = ( 64.4 - 61.5 ) / ( 4 - 0 ) }}}
{{{ ( E - 61.5 ) / t = 2.9 / 4 }}}
Multiply both sides by {{{ 4t }}}
{{{ 4*( E - 61.5 ) = 2.9t }}}
{{{ 4E - 246 = 2.9t }}}
{{{ 4E = 2.9t + 246 }}}
{{{ E(t) = .725t + 61.5 }}}
check answer:
{{{ E(0) = .725*0 + 61.5 }}}
{{{ E(0) = 61.5 }}}
and
{{{ E(4) = .725*4 + 61.5 }}}
{{{ E(4) = 2.9 + 61.5 }}}
{{{ E(4) = 64.4 }}}
OK