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.
Jessica
s 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.