Question

9

Marisa needs to hire at least 10 staff members for an
upcoming project. The staff members will be made
up of junior directors, who will be paid $640 per
week, and senior directors, who will be paid $880 per
week. Her budget for paying the staff members is no
more than $9,700 per week. She must hire at least
3 junior directors and at least 1 senior director.
Which of the following systems of inequalities
represents the conditions described if x is the
number of junior directors and y is the number of
senior directors?
A) 640x+8800700

Answer 1

• $9,700=640x+880y+100 let me know if it is set up in a different way because I can only see a's answer

Explanation:

• first we find out how much the required directors will take out of our budget
• we need 3 Jr and 1 Sr
• Jr get paid$640 a week and a Sr gets paid$880
• so we do 640×3=1,920
• now we add the Jrs and the Sr
• 1,920+880=2,800
• so we are gonna subtract them from our total
• 9,700-2,800=6,900
• we have $6,900 left
• we need at least 7 more employees so we need to figure out how much money we can spend for the next 7 employees
• 6,900÷7= $985.7142857
• now we know how much we can spend at least $985 per employee we can hire 7 more Sr directors
• 7×880= $6,160
• now we take that off the left over to see what we get
• 6,900-6,160=740
• we can afford one more Jr director then we will have $100 remaining
• in total we can afford 8 Sr directors and 4 Jr directors with $100 remaining
• to put that in an equation it would be
• $9,700=640x+880y+100