Question

the relationship between degrees celsius and degrees fahrenheit is given by the function $c(f)=(f - 32)div1.8$ where $c$ is the temperature in celsius and $f$ is the temperature in fahrenheit. if the temperature is $86^{circ}f$, then what is the temperature in degrees celsius?
question 6
2 points
which of the following represents a discrete function?
input: energy
output: speed of bicyclist in a race
input: number of dice rolls
output: number of times token is moved around the game board
input: number of days traveled, including fractions of a day
output: total miles traveled, including fractions of a mile
input: length of fencing around a park
output: area of the park

Explanation:

First Problem:

Step1: Substitute $F=86$ into formula

$C(86) = (86 - 32) \div 1.8$

Step2: Calculate numerator first

$86 - 32 = 54$

Step3: Divide to get Celsius value

$C(86) = \frac{54}{1.8} = 30$

A discrete function has inputs/outputs that are distinct, countable values (not continuous). The number of dice rolls and times a token is moved are countable whole numbers, making this pair discrete. The other options use continuous values (energy, time with fractions, length) that can take infinite values between two points.

Answer:

$30$ °C

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Second Problem: