Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.
Sagot :
Complete question:
A postage company delivers parcels which are in the shape of a cuboid. The length of every side of the parcel must be a whole number of centimeters. The price in cents is determined by multiplying the weight of the parcel (to the nearest kilogram) by 30 and then adding on 20 times the length of the longest side of the parcel.
What is the largest parcel that weighs 5KG could be if the price for sending it is less than three dollars
Answer:
7cm long
Step-by-step explanation:
Given
Let
[tex]w = weight[/tex]
[tex]l = longest\ side[/tex]
[tex]p = price[/tex] --- in cents
From the question, p is calculated as:
[tex]p = 30w + 20l[/tex]
Required
Calculate the largest parcel when weight = 5 kg and price < $3
Convert price to cents
[tex]p <\$3[/tex]
[tex]p <3*100\ cents[/tex]
[tex]p <300\ cents[/tex]
The formula: [tex]p = 30w + 20l[/tex] becomes
[tex]30 * 5 + 20 * l < 300[/tex]
[tex]150 + 20 * l < 300[/tex]
Collect like terms
[tex]20 * l < 300 - 150[/tex]
[tex]20 * l < 150[/tex]
Divide both sides by 20
[tex]l < 7.5cm[/tex]
Since the length must be in whole numbers, then the largest parcel is 7cm long
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.