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The table below shows the cost of manufacturing dry erase markers in a factory. A linear function models...

The table below shows the cost of manufacturing dry erase markers in a factory. A linear function models the cost per pencil. Which statement about the rate of change of this function is true?
1. The cost increases by $0.60 for each additional pencil.
2. The cost increases by $4 every 20 pencils.
3. The cost increases by $10 for each additional pencil.
4. The cost decreases by $6 for each additional pencil.

Answer

To find the rate of change, calculate the change in cost divided by the change in the number of markers:

  1. From 10 to 20 markers, the cost increases from $6 to $12, so the change is $12 - $6 = $6 for 10 markers, or $0.60 per marker.
  2. From 20 to 30 markers, the cost increases from $12 to $18, so the change is $18 - $12 = $6 for 10 markers, or $0.60 per marker.
  3. From 30 to 40 markers, the cost increases from $18 to $24, so the change is $24 - $18 = $6 for 10 markers, or $0.60 per marker.

The correct statement is: The cost increases by $0.60 for each additional pencil.

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