Martha can complete 15 activities a day at summer camp she can choose between crafts and sports part a: define two variables and create an equation to represent the situation

15x2=30 combinations

Or x= activities a day

Y=crafts and sports

D=combinations

XxY=D

Step-by-step explanation: variables would be the activities per day and options of what to do. Multiply those to end up with the total number of combinations.

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