1.)
Answer:
22.5c + 200 ≥ 500
Explanation:
The fixed amount earned by her in one week without detailing any car is '$200'.
The amount earned by her for every car she details is '$22.5'.
The number of cars she details is given to be 'c'.
The total amount earned by her in one week if she details 'c' cars in that week = (Fixed amount) + (Number of cars detailed) × (Amount earned for each car detail)
Total amount = $200 + c × $22.5
The minimum amount she has to earn in that week is '$500'.
Therefore, Total Amount ≥ $500
200 + 22.5c ≥ 500
Therefore the inequality which represents the condition in question is:
200 + 22.5c ≥ 500
3.)
Answer:
47.5v + 35 ≤ 450
Explanation:
The shipping charges which do not depend upon the number of volleyballs in it is '$35'.
The amount of each volleyball is '$47.5'.
The number of volleyballs they buy as given in the question is 'v'.
The total cost of buying 'v' volleyballs = (Number of volleyballs) × (Cost of each volleyball) + (Fixed shipping charges)
Total money spend = v × $47.5 + $35
The amount earned by the department on jeans day or the maximum amount department can spend on buying volleyballs is '$450'.
Therefore, Total money spend ≤ $450
47.5v + 35 ≤ 450
Therefore the inequality which represents the condition in question is:
47.5v + 35 ≤ 450