2
QuizMultiple Choice

Graphing in a Variety of Contexts — Unit test

Question 2 • WI-Mathematics Grade 8 A

Sung-Hi is filling a sandbox with sand at the rate shown in the table below. Which statement must be true regarding the linear function that represents this situation?Amount of Sand in the SandboxNumber of Minutes Since Sung-Hi Started01234Amount of Sand in the Sandbox (pounds)200220240260280

Answer
T
The initial value must be 0 pounds.
T
The initial value must be 20 pounds.
T
The rate of change must be 0 pounds per minute.
T
The rate of change must be 20 pounds per minute.

Explanation

The amount of sand increases by 20 pounds each minute: for example, it goes from 200 pounds at 0 minutes to 220 pounds at 1 minute. The linear function’s rate of change is therefore 20 pounds per minute. The initial value is 200 pounds, not 0 or 20, so D is the statement that must be true.

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