Question 1019702
Let {{{ p }}} = price charged
Let {{{ m }}} = miles driven
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Equation for company A:
{{{ p = 8 + .1m }}}
Equation for company B:
{{{ p = .3m }}}
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Make the prices equal
{{{ 8 + .1m = .3m }}}
{{{ .2m = 8 }}}
{{{ m = 40 }}}
At a distance of 40 mi, both companies
charge the same amount
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Here are plots of price and distance driven
for both companies
{{{ graph( 400, 400, -10, 50, -5, 16, .1x + 8, .3x ) }}}