Let be represents jessica needs number of pounds of food.
Let be represents them carries their own supplies.
Jessica is capable of carrying pounds, hence
.
Marc can carry pounds, hence
.
\
On a camping trip, Jessica needs at least pounds of food and
gallon of water per day.
Marc needs at least pounds of food and
gallon of water per day.
Jessicas equipment weighs
pounds, and Marc’s equipment weighs
pounds.
A gallon of water weighs approximately pounds.a.
Write the system of inequalities.
\\
The Jessica is own supplies capable of carrying pounds from to
.
Hence, the inequalities are ,
,
and
.
Graph:
\Graph the inequalities are ,
,
and
.
b.
\Find how many days can they camp.
\So, she would be completed camp in .
c.
\Find who will run out of supplies first.
\Marc, Jessica could last about a quarter of a day longer than Marc.
\a.
\Graph the inequalities are ,
,
and
.
b.
\She would be completed camp in .
c.
\Jessica supllies first.