Question

John is going on a trip and the country he is traveling to uses the Celsius scale. He is curious about converting Celsius temperatures to Fahrenheit. John determines 68°F is equivalent to 20°C and 86°F is equivalent to 30°C. Which function models the relationship between Fahrenheit and Celsius?

F=5/9C-512/9
F=9/5C-32
F=9/5C-512/5
F=9/5C+32

Answer 1

The answer is 9/5c + 32. you can remember this because Fahrenheit is always higher that Celsius so you'd be adding

Answer 2

Option 4 -
`F=[(9)/(5)* C]+32`

Explanation:

Given : John is going on a trip and the country he is traveling to uses the Celsius scale. He is curious about converting Celsius temperatures to Fahrenheit. John determines 68°F is equivalent to 20°C and 86°F is equivalent to 30°C.

To find : Which function models the relationship between Fahrenheit and Celsius?

Solution :

The conversion formula for a temperature that is expressed on the Celsius (C) scale to its Fahrenheit (F) is given by

`F=[(9)/(5)* C]+32`

For above model to be satisfied we put the values given and verify it,

1) John determines 68°F is equivalent to 20°C.

So, Put C= 20°C

`F=[(9)/(5)* 20]+32`

`F=[9* 4]+32`

`F=36+32`

`F=68`

Fahrenheit is 68°F verified.

2) John determines 86°F is equivalent to 30°C.

Now, Put C= 30°C

`F=[(9)/(5)* 30]+32`

`F=[9* 6]+32`

`F=54+32`

`F=86`

Fahrenheit is 86°F verified.

Therefore, Both the given condition is satisfied by the formula.

So,
`F=[(9)/(5)* C]+32` function models the relationship between Fahrenheit and Celsius.

Hence, Option 4 is correct.