Question 1001941

use linear equation:

{{{y=ax+b}}}

if Jacob earns ${{{55}}} in {{{2}}} hours, we have 

{{{55=2a+b}}}.....eq.1

if Jacob earns ${{{130}}} in {{{5}}} hours,we have

{{{130=5a+b}}}........eq.2

solve this system:

{{{55=2a+b}}}.....eq.1
{{{130=5a+b}}}........eq.2
-----------------------------subtract eq.1 from eq.2
{{{130-55=5a-2a+b-b}}}

{{{75=3a}}}

{{{a=75/3}}}

{{{a=25}}}

go to {{{55=2a+b}}}, plug in {{{25}}} for {{{a}}} and find {{{b}}}

{{{55=2*25+b}}}
{{{55=50+b}}}
{{{b=55-50}}}
{{{b=5}}}

so, an equation that represents this relation is: {{{y=25x+5}}}