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Masja [62]
3 years ago
14

Water boils at 100LaTeX: ^\circ∘ Celsius or 212LaTeX: ^\circ∘ Fahrenheit. Water freezes at 0LaTeX: ^\circ∘ Celsius or 32LaTeX: ^

\circ∘ Fahrenheit. If the weather forecaster says it will be 30LaTeX: ^\circ∘ Celsius today, write and solve a linear equation to find what Fahrenheit temperature this is.
Mathematics
2 answers:
Lubov Fominskaja [6]3 years ago
8 0

Answer:

F = 1.8C +32

F = 86^{\circ}F

Step-by-step explanation:

Represent Celsius with C and Fahrenheit with F.

So, we have:

(C_1,F_1) = (100,212)

(C_2,F_2) = (0,32)

Solving (a): Represent as a linear equation

First, we calculate the slope:

m = \frac{F_2 - F_1}{C_2 - C_1}

This gives:

m = \frac{32 - 212}{0 - 100}

m = \frac{-180}{- 100}

m = 1.8

The linear equation is then calculated using:

F - F_1 = m(C -C_1)

Where

(C_1,F_1) = (100,212)

m = 1.8

F - 212 = 1.8(C -100)

F - 212 = 1.8C -180

Make F the subject

F = 1.8C -180+212

F = 1.8C +32

Solving (b): The value of F when C = 30

Substitute 30 for C in F = 1.8C +32

F = 1.8 * 30 + 32

F = 54 + 32

F = 86

Sedbober [7]3 years ago
6 0

Answer:

person above me is wrong

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