Answer:
18 degrees Fahrenheit
Step-by-step explanation:
Given
[tex]F = 32 + 1.8C[/tex]
Required
Determine change in F if change in C is 10
A 10 degrees change in C is represented as: C + 10
The equivalent change in F is F + x, where x represents the change in F
So: If [tex]F = 32 + 1.8C[/tex]
Then
[tex]F + x = 32 + 1.8(C + 10)[/tex]
Open brackets
[tex]F + x = 32 + 1.8C + 18[/tex]
Collect Like Terms
[tex]F + x = 32 + 18+ 1.8C[/tex]
[tex]F + x = 50+ 1.8C[/tex]
Make x the subject
[tex]x = 50+ 1.8C - F[/tex]
Recall that: [tex]F = 32 + 1.8C[/tex]
So:
[tex]x = 50+ 1.8C - F[/tex] becomes
[tex]x = 50 + 1.8C - (32 + 1.8C)[/tex]
Open Bracket
[tex]x = 50 + 1.8C - 32 - 1.8C[/tex]
[tex]x = 50 - 32+ 1.8C - 1.8C[/tex]
[tex]x = 50 - 32[/tex]
[tex]x = 18[/tex]
Hence:
A change of 10 degrees Celsius will bring a change of 18 degrees Fahrenheit
