1.)
Answer:
22.5c + 200 ≥ 500
Step-by-step 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'.
<em>The total amount earned by her in one week if she details 'c' cars in that week = (</em><em>Fixed amount</em><em>) + (</em><em>Number of cars detailed</em><em>) × (</em><em>Amount earned for each car detail</em><em>)</em>
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
Step-by-step 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'.
<em>The total cost of buying 'v' volleyballs = (</em><em>Number of volleyballs</em><em>) × (</em><em>Cost of each volleyball</em><em>) + (</em><em>Fixed shipping charges</em><em>)</em>
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