Please answer all 4 parts & show full work do not just give me answer. Water fre

Question

Please answer all 4 parts & show full work

do not just give me answer.

Water freezes at 0° Celsius and 32° Fahrenheit and it boils at 100°C and 212°F.

(1. a.) Find a linear function F that expresses temperature in the Fahrenheit scale in terms of degrees Celsius C.

(Please show full work)

F = 9/5C + 32

(1. b.) Use this function to convert 50°C into Fahrenheit.

  (Please show full work)

  122°F

(2. a.) Find a linear function C that expresses temperature in the Celsius scale in terms of degrees Fahrenheit F.

(Please show full work & answer)

(2. b.) Use this function to convert 150°F into Celsius.

  (Please show full work)

65 5/9

Explanation / Answer

(1. a.)

Given two points are (0, 32) and (100, 212)

Find slope(m) as

m = (212 -32)/(100-0) =180/100 = 9/5

Write eqaution with slope = 9/5 and y-intercept (b) = 32 as

F=(9/5)C+32

(1. b.)

Substitute 50 for C in F=(9/5)C+32

F=(9/5) *50 +32

F=90+32

F= 122°F

(2. a.)

Use the F = 9/5C + 32 and then solve for C as

F-32 =9/5 C

Multiply both sides by 5/9

C=5/9 (F-32)

(2. b.)

Subtitute 150 for F in C=5/9 (F-32)

C=5/9 (150-32)

C=5/9 (118)

C=590/9

C= 65 5/9°C

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.