Connie has saved up $15 to purchase a new cd from the local store. the sales tax in her county is 5% of the sticker price. write an equation and solve it to determine the value of the highest priced cd connie can purchase with her $15, including the sales tax. round your answer to the nearest penny.

x + 0.05x = 15; x = $14.29

x - 0.05x = 15; x = $15.79

0.5x = 15; x = $30

5x = 15; x = $3.00

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