No Calculator SAT Math Questions
Question: 1
C=5/9(F−32)
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
1. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degree Celsius.
2. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
3. A temperature increase of 5/9 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answers
Answer:
i only is the correct answer
Answer:
ANSWER EXPLANATION:
ᴛʜɪɴᴋ ᴏꜰ ᴛʜᴇ ᴇQᴜᴀᴛɪᴏɴ ᴀꜱ ᴀɴ ᴇQᴜᴀᴛɪᴏɴ ꜰᴏʀ ᴀ ʟɪɴᴇ
ʏ=ᴍx+ʙ
ᴡʜᴇʀᴇ ɪɴ ᴛʜɪꜱ ᴄᴀꜱᴇ
ᴄ = 5/9(ꜰ−32)
ᴏʀ
ᴄ=5/9 ꜰ − 5/9(32)
ʏᴏᴜ ᴄᴀɴ ꜱᴇᴇ ᴛʜᴇ ꜱʟᴏᴘᴇ ᴏꜰ ᴛʜᴇ ɢʀᴀᴘʜ ɪꜱ 5/9, ᴡʜɪᴄʜ ᴍᴇᴀɴꜱ ᴛʜᴀᴛ ꜰᴏʀ ᴀɴ ɪɴᴄʀᴇᴀꜱᴇ ᴏꜰ 1 ᴅᴇɢʀᴇᴇ ꜰᴀʜʀᴇɴʜᴇɪᴛ, ᴛʜᴇ ɪɴᴄʀᴇᴀꜱᴇ ɪꜱ 5/9 ᴏꜰ 1 ᴅᴇɢʀᴇᴇ ᴄᴇʟꜱɪᴜꜱ.
ᴄ = 5/9(ꜰ)
ᴄ = 59 (1) = 5/9
ᴛʜᴇʀᴇꜰᴏʀᴇ, ꜱᴛᴀᴛᴇᴍᴇɴᴛ ɪ ɪꜱ ᴛʀᴜᴇ. ᴛʜɪꜱ ɪꜱ ᴛʜᴇ ᴇQᴜɪᴠᴀʟᴇɴᴛ ᴛᴏ ꜱᴀʏɪɴɢ ᴛʜᴀᴛ ᴀɴ ɪɴᴄʀᴇᴀꜱᴇ ᴏꜰ 1 ᴅᴇɢʀᴇᴇ ᴄᴇʟꜱɪᴜꜱ ɪꜱ ᴇQᴜᴀʟ ᴛᴏ ᴀɴ ɪɴᴄʀᴇᴀꜱᴇ ᴏꜰ 9/5 ᴅᴇɢʀᴇᴇꜱ ꜰᴀʜʀᴇɴʜᴇɪᴛ.
ᴄ = 5/9(ꜰ)
1 = 5/9(ꜰ)
(ꜰ) = 95
ꜱɪɴᴄᴇ 9/5 = 1.8, ꜱᴛᴀᴛᴇᴍᴇɴᴛ ɪɪ ɪꜱ ᴛʀᴜᴇ.
ᴛʜᴇ ᴏɴʟʏ ᴀɴꜱᴡᴇʀ ᴛʜᴀᴛ ʜᴀꜱ ʙᴏᴛʜ ꜱᴛᴀᴛᴇᴍᴇɴᴛ ɪ ᴀɴᴅ ꜱᴛᴀᴛᴇᴍᴇɴᴛ ɪɪ ᴀꜱ ᴛʀᴜᴇ ɪꜱ ᴅ, ʙᴜᴛ ɪꜰ ʏᴏᴜ ʜᴀᴠᴇ ᴛɪᴍᴇ ᴀɴᴅ ᴡᴀɴᴛ ᴛᴏ ʙᴇ ᴀʙꜱᴏʟᴜᴛᴇʟʏ ᴛʜᴏʀᴏᴜɢʜ, ʏᴏᴜ ᴄᴀɴ ᴀʟꜱᴏ ᴄʜᴇᴄᴋ ᴛᴏ ꜱᴇᴇ ɪꜰ ꜱᴛᴀᴛᴇᴍᴇɴᴛ ɪɪɪ (ᴀɴ ɪɴᴄʀᴇᴀꜱᴇ ᴏꜰ 5/9 ᴅᴇɢʀᴇᴇ ꜰᴀʜʀᴇɴʜᴇɪᴛ ɪꜱ ᴇQᴜᴀʟ ᴛᴏ ᴀ ᴛᴇᴍᴘᴇʀᴀᴛᴜʀᴇ ɪɴᴄʀᴇᴀꜱᴇ ᴏꜰ 1 ᴅᴇɢʀᴇᴇ ᴄᴇʟꜱɪᴜꜱ) ɪꜱ ᴛʀᴜᴇ:
ᴄ = 5/9 (ꜰ)
ᴄ = 5/9 (5/9)
ᴄ = 25/81 (ᴡʜɪᴄʜɪꜱ≠1)
ᴀɴ ɪɴᴄʀᴇᴀꜱᴇ ᴏꜰ 5/9 ᴅᴇɢʀᴇᴇ ꜰᴀʜʀᴇɴʜᴇɪᴛ ʟᴇᴀᴅꜱ ᴛᴏ ᴀɴ ɪɴᴄʀᴇᴀꜱᴇ ᴏꜰ 25/81 , ɴᴏᴛ 1 ᴅᴇɢʀᴇᴇ, ᴄᴇʟꜱɪᴜꜱ, ᴀɴᴅ ꜱᴏ ꜱᴛᴀᴛᴇᴍᴇɴᴛ ɪɪɪ ɪꜱ ɴᴏᴛ ᴛʀᴜᴇ.
ᴛʜᴇ ꜰɪɴᴀʟ ᴀɴꜱᴡᴇʀ ɪꜱ ᴅ.