ᴅᴜʀɪɴɢ ꜱᴀʟᴇꜱ ʜᴏᴜʀ ɪɴ ᴀ ꜱᴜᴘᴇʀᴍᴀʀᴋᴇᴛ, ᴄʏɴᴛʜɪᴀ ᴍᴇᴀꜱᴜʀᴇꜱ ʜᴇʀ ᴜʀɢᴇɴᴄʏ ꜰʀᴏᴍ ʙᴜʏɪɴɢ ᴢ ʙᴀɢꜱ ᴏꜰ ᴄᴀɴᴅɪᴇꜱ ᴀɴᴅ ʏ ʙᴀʀꜱ ᴏꜰ ᴄʜᴏᴄᴏʟᴀᴛᴇ ᴜꜱɪɴɢ ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ꜰᴜɴᴄᴛɪᴏɴ: ꜰ(x, ʏ) = √xʏ. ɪꜰ ᴄʏɴᴛʜɪᴀ ʜᴀꜱ ᴜꜱᴅ 5.00 ᴛᴏ ꜱᴘᴇɴᴅ ᴀɴᴅ ᴇᴀᴄʜ ʙᴀɢ ᴏꜰ ᴄᴀɴᴅɪᴇꜱ ᴀɴᴅ ᴇᴀᴄʜ ʙᴀʀ ᴏꜰ ᴄʜᴏᴄᴏʟᴀᴛᴇ ᴄᴏꜱᴛ ᴜꜱᴅ 1.50 ᴀɴᴅ ᴜꜱᴅ 1.00, ʀᴇꜱᴘ., ʜᴏᴡ ᴍᴀɴʏ ʙᴀɢꜱ ᴏꜰ ᴄᴀɴᴅɪᴇꜱ ᴀɴᴅ ʙᴀʀꜱ ᴏꜰ ᴄʜᴏᴄᴏʟᴀᴛᴇ ꜱʜᴏᴜʟᴅ ꜱʜᴇ ᴘᴜʀᴄʜᴀꜱᴇ ᴛᴏ ᴍᴀxɪᴍɪᴢᴇ ʜᴇʀ ᴜʀɢᴇɴᴄʏ? ᴜꜱᴇ ʟᴀɢʀᴀɴɢᴇ ᴏᴘᴛɪᴍɪᴢᴀᴛɪᴏɴ ᴛᴏ ꜱᴏʟᴠᴇ ᴛʜɪꜱ ᴘʀᴏʙʟᴇᴍ. (ɴᴏᴛᴇ: ꜰʀᴀᴄᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀ ᴏꜰ ʙᴀɢꜱ ᴀɴᴅ ʙᴀʀꜱ ᴄᴀɴ ʙᴇ ᴘᴜʀᴄʜᴀꜱᴇᴅ.)
ᴅᴜʀɪɴɢ ꜱᴀʟᴇꜱ ʜᴏᴜʀ ɪɴ ᴀ ꜱᴜᴘᴇʀᴍᴀʀᴋᴇᴛ, ᴄʏɴᴛʜɪᴀ ᴍᴇᴀꜱᴜʀᴇꜱ ʜᴇʀ ᴜʀɢᴇɴᴄʏ ꜰʀᴏᴍ ʙᴜʏɪɴɢ ᴢ ʙᴀɢꜱ ᴏꜰ ᴄᴀɴᴅɪᴇꜱ ᴀɴᴅ ʏ ʙᴀʀꜱ ᴏꜰ ᴄʜᴏᴄᴏʟᴀᴛᴇ ᴜꜱɪɴɢ ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ꜰᴜɴᴄᴛɪᴏɴ: ꜰ(x, ʏ) = √xʏ. ɪꜰ ᴄʏɴᴛʜɪᴀ ʜᴀꜱ ᴜꜱᴅ 5.00 ᴛᴏ ꜱᴘᴇɴᴅ ᴀɴᴅ ᴇᴀᴄʜ ʙᴀɢ ᴏꜰ ᴄᴀɴᴅɪᴇꜱ ᴀɴᴅ ᴇᴀᴄʜ ʙᴀʀ ᴏꜰ ᴄʜᴏᴄᴏʟᴀᴛᴇ ᴄᴏꜱᴛ ᴜꜱᴅ 1.50 ᴀɴᴅ ᴜꜱᴅ 1.00, ʀᴇꜱᴘ., ʜᴏᴡ ᴍᴀɴʏ ʙᴀɢꜱ ᴏꜰ ᴄᴀɴᴅɪᴇꜱ ᴀɴᴅ ʙᴀʀꜱ ᴏꜰ ᴄʜᴏᴄᴏʟᴀᴛᴇ ꜱʜᴏᴜʟᴅ ꜱʜᴇ ᴘᴜʀᴄʜᴀꜱᴇ ᴛᴏ ᴍᴀxɪᴍɪᴢᴇ ʜᴇʀ ᴜʀɢᴇɴᴄʏ? ᴜꜱᴇ ʟᴀɢʀᴀɴɢᴇ ᴏᴘᴛɪᴍɪᴢᴀᴛɪᴏɴ ᴛᴏ ꜱᴏʟᴠᴇ ᴛʜɪꜱ ᴘʀᴏʙʟᴇᴍ. (ɴᴏᴛᴇ: ꜰʀᴀᴄᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀ ᴏꜰ ʙᴀɢꜱ ᴀɴᴅ ʙᴀʀꜱ ᴄᴀɴ ʙᴇ ᴘᴜʀᴄʜᴀꜱᴇᴅ.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 89E
Related questions
Question
ᴅᴜʀɪɴɢ ꜱᴀʟᴇꜱ ʜᴏᴜʀ ɪɴ ᴀ ꜱᴜᴘᴇʀᴍᴀʀᴋᴇᴛ, ᴄʏɴᴛʜɪᴀ ᴍᴇᴀꜱᴜʀᴇꜱ ʜᴇʀ ᴜʀɢᴇɴᴄʏ ꜰʀᴏᴍ ʙᴜʏɪɴɢ ᴢ ʙᴀɢꜱ ᴏꜰ ᴄᴀɴᴅɪᴇꜱ ᴀɴᴅ ʏ ʙᴀʀꜱ ᴏꜰ ᴄʜᴏᴄᴏʟᴀᴛᴇ ᴜꜱɪɴɢ ᴛʜᴇ ꜰᴏʟʟᴏᴡɪɴɢ ꜰᴜɴᴄᴛɪᴏɴ:
ꜰ(x, ʏ) = √xʏ. ɪꜰ ᴄʏɴᴛʜɪᴀ ʜᴀꜱ ᴜꜱᴅ 5.00 ᴛᴏ ꜱᴘᴇɴᴅ ᴀɴᴅ ᴇᴀᴄʜ ʙᴀɢ ᴏꜰ ᴄᴀɴᴅɪᴇꜱ ᴀɴᴅ ᴇᴀᴄʜ ʙᴀʀ ᴏꜰ ᴄʜᴏᴄᴏʟᴀᴛᴇ ᴄᴏꜱᴛ ᴜꜱᴅ 1.50 ᴀɴᴅ ᴜꜱᴅ 1.00, ʀᴇꜱᴘ., ʜᴏᴡ ᴍᴀɴʏ ʙᴀɢꜱ ᴏꜰ ᴄᴀɴᴅɪᴇꜱ ᴀɴᴅ ʙᴀʀꜱ ᴏꜰ ᴄʜᴏᴄᴏʟᴀᴛᴇ ꜱʜᴏᴜʟᴅ ꜱʜᴇ ᴘᴜʀᴄʜᴀꜱᴇ ᴛᴏ ᴍᴀxɪᴍɪᴢᴇ ʜᴇʀ ᴜʀɢᴇɴᴄʏ? ᴜꜱᴇ ʟᴀɢʀᴀɴɢᴇ ᴏᴘᴛɪᴍɪᴢᴀᴛɪᴏɴ ᴛᴏ ꜱᴏʟᴠᴇ ᴛʜɪꜱ ᴘʀᴏʙʟᴇᴍ. (ɴᴏᴛᴇ: ꜰʀᴀᴄᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀ ᴏꜰ ʙᴀɢꜱ ᴀɴᴅ ʙᴀʀꜱ ᴄᴀɴ ʙᴇ ᴘᴜʀᴄʜᴀꜱᴇᴅ.)
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