Answer:
[tex]F = 1.8C + 32[/tex]
Step-by-step explanation:
Given
The attached table
Required
The relationship between both temperatures
This implies that we calculate the table equation
First, we calculate the slope (m)
[tex]m = \frac{F_2 - F_1}{C_2 - C_1}[/tex]
Where:
[tex](C_1,F_1) = (0,32)[/tex]
[tex](C_2,F_2) = (20,68)[/tex]
So, we have:
[tex]m = \frac{68 - 32}{20 - 0}[/tex]
[tex]m = \frac{36}{20}[/tex]
[tex]m = 1.8[/tex]
The equation is then calculated using:
[tex]F = m(C - C_1) + F_1[/tex]
This gives:
[tex]F = 1.8(C - 0) + 32[/tex]
[tex]F = 1.8(C ) + 32[/tex]
[tex]F = 1.8C + 32[/tex]
