Breanna works in the mall and her hours increase during busy shopping times of the year. breanna has a plan to save $25 each week for 5 weeks, and then increase that amount by $20 for the next 7 weeks during the busy time, then go back to $25 per week. if breanna’s plan is to save $540, how many weeks total will she need to save?
a. 11 weeksb. 16 weeksc. 22 weeksd. 23 weeks

16 weeks

Step-by-step explanation:

Breanna has a plan to save $25 each week for 5 weeks. This means that the total amount that she would save for 5 weeks would be

5 × 25 = $125

After now, she will increase that amount by $20 for the next 7 weeks during the busy time, then go back to $25 per week. It means that she would earn $(25 + 20) for 7 weeks before going back to the $25 per week plan. Total amount that she would save before going back is

45 × 7 = $315

If Breanna’s plan is to save $540, then the amount of money remaining for him to save would be

545 - (315 + 125) = 540 - 440 = $100

If she earns $25 per week, number of weeks that it will take to earn $105 would be 105/25 = 4

Therefore, total number of weeks would be

5 + 7 + 4 = 16 weeks

7

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