Ireally need to pass this lesson pl !

Since she has "no more than $40 to spend" we know that the the symbol must be "less than or equal to" .  Now we can eliminate the first and second choices because they are "greater than or equal to".

Next, we can figure out how to model this situation.  There is a flat $5 fee and each song is $2.  We can model this with 2s+5 ($2 per son plus $5).  

The answer is

Hope this helps!

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is