Ms. lodge wants to donate to a local animal shelter. she wants to donate at least $593 to the shelter. she has already saved $418. she plans to earn $12.50 per day by pet-sitting for an hour each day to raise the rest of the money. which number line shows the number of days ms. lodge can spend pet-sitting and meet her goal? a. b. c. d.

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step-by-step explanation:

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