Sung-Hi is filling a sandbox with sand at the rate shown in the table. Which statement must be true regarding the linear function that represents this situation? Amount of Sand in the Sandbox Number of Minutes Since Sung-Hi Started 0 1 2 3 4 Amount of Sand in the Sandbox (pounds) 200 220 240 260 280
Answer
A
The initial value must be 0 pounds.
B
The rate of change must be 0 pounds per minute.
C
The initial value must be 20 pounds.
D
The rate of change must be 20 pounds per minute.
Explanation
The amount of sand increases by 20 pounds each minute: 220 − 200 = 20, and the same increase continues throughout the table. Therefore, the linear function’s rate of change must be 20 pounds per minute. The initial amount is 200 pounds, not 0 or 20.
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