Question 941698

{{{x}}}      |    {{{ y}}}
{{{2}}}      |   {{{ 42}}}
{{{3}}}      |   {{{ 63}}}
{{{5 }}}     |   {{{ 105}}}

first find equation of the line passing through given points; take points ({{{2}}},{{{42}}}) and ({{{3}}},{{{63}}})

*[invoke find_equation_of_line 2, 42, 3, 63]

so, equation is:{{{y=21x}}}

a.) estimate how far the truck can go on {{{7}}} miles  (here is probably gallons) of gasoline

{{{y=21x}}} if {{{x=7}}}

{{{y=21*7}}}

{{{y=147}}} ...the truck can go {{{147}}} miles  on {{{7}}} gallons of gasoline


b.) how many gallons of gas are needed to travel a distance of {{{658}}} miles.

{{{y=21x}}} if {{{y=658}}}

{{{658=21x}}}

{{{658/21=x}}}

{{{31.33333333333333=x}}}

{{{x=31(1/3)}}}...to travel a distance of {{{658}}} miles {{{31}}}{{{(1/3)}}} gallons of gas are needed



c.) how far can the truck go on a full tank if it holds {{{20}}} gallons of gasoline.
       

{{{y=21x}}} if {{{x=20}}}

{{{y=21*20}}}

{{{y=420}}} ...the truck can go {{{420}}} miles  on {{{20}}} gallons of gasoline