Question 720127
How do you convert x degrees centigrade to y degrees fahrenheit? The function is f(x)= 9/5x + 32 (the green graph)
write it
y = {{{9/5}}}x + 32
find the inverse, replace x with y and solve for y
{{{9/5}}}y + 32 = x
subtract 32 from both sides
{{{9/5}}}y = x - 32
multiply both sides by 5/9, and you have
y = {{{5/9}}}(x-32), which is Fahrenheit to Celsius conversion fraction (red graph)
:
-40 degrees is the same in both system shown by the graph
{{{ graph( 300, 300, -100, 250, -100, 150, (5/9)(x-32), (9/5)x+32, 100) }}}
Blue horizontal lines shows the boiling point of water on both sytems
100c and 212F