Carlos estimates that he will need to earn at least
to take his girl friend to the prom.
Observe the table,
\\
\
a.
Carlos works two jobs,
\ Let
be the number of hours Carlos works at Main St. Deli.
Let
be the number of hours Carlos works babysitting.
\
\
Write an inequality to represent.
Carlos
s earnings is
.
\
\
b.
\
\
Step 1:
The boundary of the graph is the graph of
.
Since the inequality symbol is
, the boundary line is solid.
is greaterthan equal to
, so the region greaterthan or equal to
is shaded.
Step 2:
\Consider a test point as
.


The statement is true.
\Shade the inequalty containing the point
. \ \
Graph:
\Graph of the inequality is
.

\
\
c.
\
\
Find he make enough if he works
hours at each job.
(Original inequality)
(Substitute
)
(Multiply)
(Add)
Yes, Carlos will earn enough money if he works
hours at each job. \
a.
\Carlos
s earnings is
. \ \
\
b.
\Graph of the inequality is
.

\
\
c. Yes, Carlos will earn enough money if he works
hours at each job.