Question

A thermometer gives a reading of 26 degrees Celsius. Use the formula c =5/9(f-32). Write the inverse function and use it to find the equivalent temperature in Fahrenheit

Answer 1

The answer to your question is F = 78.8

Explanation:

Equation

`C = (5)/(9) (F - 32)`

Multiply both sides by 9

`9C = (5(9))/(9) (F - 32)`

Simplify

`9C = 5(F - 32)`

Divide both sides by 5

`(9)/(5) C = (5)/(5) (F - 32)`

Simplify

`(9)/(5) C = F -32`

Add 32 in both sides

`(9)/(5) C + 32 = F - 32 + 32`

Simplify (Inverse)

`(9)/(5) C + 32 = F`

Substitute to find F

`(9)/(5) (26) + 32 = F`

Simplify

F = 46.8 + 32

Result

F = 78.8