QuestionThe principal of Hamilton Middle School rented a shaved-ice machine for the annual end-ofyear school picnic. The machine shaves 6 pounds of ice per minute. The function $F(n)$ represents the amount of ice, in pounds, the machine has shaved after $n$ minutes of use.
What is the range of $F(n)$ ? all integers less an or equal to 6 all whole numbers all multiples of 6 all real numbers greater than or equal to 0

Studdy Solution

STEP 1

1. The function $F(n)$ represents the amount of ice shaved in pounds after $n$ minutes.
2. The machine shaves 6 pounds of ice per minute.
3. We need to determine the range of $F(n)$ .

STEP 2

1. Understand the function $F(n)$ .
2. Determine the possible values of $F(n)$ .
3. Identify the correct range from the given options.

STEP 3

The function $F(n) = 6n$ because the machine shaves 6 pounds of ice per minute.

STEP 4

Since $n$ represents time in minutes and must be a non-negative integer, $F(n) = 6n$ will produce values that are multiples of 6.

STEP 5

The range of $F(n)$ consists of all possible outputs of the function, which are all multiples of 6 starting from 0 (when $n = 0$ ).
The range of $F(n)$ is:
$\text{all multiples of 6}$

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