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

Answer:

Option 4 - $F=[\frac{9}{5}\times C]+32$

Step-by-step 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

$F=[\frac{9}{5}\times C]+32$

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

$F=[\frac{9}{5}\times 20]+32$

$F=[9\times 4]+32$

$F=36+32$

$F=68$

Fahrenheit is 68°F verified.

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

Now, Put C= 30°C

$F=[\frac{9}{5}\times 30]+32$

$F=[9\times 6]+32$

$F=54+32$

$F=86$

Fahrenheit is 86°F verified.

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

So, $F=[\frac{9}{5}\times C]+32$ function models the relationship between Fahrenheit and Celsius.

Hence, Option 4 is correct.