Question

Hank and Sonny built a snowman in their front yard. Once the temperature starts rising, the snowman begins to melt. The height of the snowman can be represented by the function h(t)=−4t+48
, as shown on the graph.



Which of the following statements is a correct interpretation of the function representing the height of the snowman? Select the TWO that apply.

(2 points)
Responses

It takes 48 hours for the snowman to melt completely.
It takes 48 hours for the snowman to melt completely.

The initial height of the snowman is 4 inches.
The initial height of the snowman is 4 inches.

The initial height of the snowman is 48 inches.
The initial height of the snowman is 48 inches.

It takes 4 hours for the snowman to melt completely.
It takes 4 hours for the snowman to melt completely.

The snowman melts 4 inches per hour.
The snowman melts 4 inches per hour.

The snowman melts 48 inches per hour.
The snowman melts 48 inches per hour.

Answer 1

Correct choices:

- The initial height of the snowman is 48 inches. (h(0) = −4(0) + 48 = 48.)
- The snowman melts 4 inches per hour. (The slope −4 is the rate: height decreases by 4 inches each hour.)

(For reference, it would take 48/4 = 12 hours to melt completely.)