Answer:
see explanation
Step-by-step explanation:
a
F = [tex]\frac{9}{5}[/tex] C + 32
b
(i) C = 35, then
F = [tex]\frac{9}{5}[/tex] × 35 + 32 = 63 + 32 = 95
(ii)
C = - 20, then
F = [tex]\frac{9}{5}[/tex] × - 20 + 32 = - 36 + 32 = - 4
c
Rearrange the above equation in F to solve for C
Subtract 32 from both sides
F- 32 = [tex]\frac{9}{5}[/tex] C
Multiply both sides by [tex]\frac{5}{9}[/tex]
C = [tex]\frac{5}{9}[/tex] (F - 32)
(i) F = 59, then
C = [tex]\frac{5}{9}[/tex] (59 - 32) = [tex]\frac{5}{9}[/tex] × 27 = 15
(ii) F = 14, then
C = [tex]\frac{5}{9}[/tex] (14 - 32 ) = [tex]\frac{5}{9}[/tex] × - 18 = - 10
