An animal shelter spends $5.50 per day to care for each cat and $7.00 per day to care for each dog. Ryan noticed that the shelter spent $52.50 caring for cats and dogs on Monday. Ryan found a record showing that there were a total of 9 cats and dogs on Monday. How many cats were at the shelter on Monday?

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

nope.   happens to me as well.

-aparri