The amount you pay for a car is not usually the​ "sticker price," which may be the starting price. The price of a car was reduced by​ $300 from the sticker​ price, increased by​ $900 for additional​ features, and then reduced by​ $600 by the dealer. What integer represents the total change in price with respect to the sticker​ price? Use a number line to represent the change from the sticker price.

Question

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Part 1
What integer represents the total change in price with respect to the sticker​ price?
The integer
  
enter your response here represents the total change in price.
Part 2
Use a number line to represent the change from the sticker price.

Answer 1

Part 1:
The total change in price with respect to the sticker price can be calculated by adding the reductions and the increase.

Reduction = -$300 + (-$600) = -$900
Increase = +$900

Total change = Reduction + Increase = -$900 + $900 = $0

Therefore, the integer that represents the total change in price with respect to the sticker price is 0.

Part 2:
The number line representing the change from the sticker price would have two arrows, one pointing to the left and one pointing to the right, both starting from the sticker price position. The arrow pointing to the left would represent the reduction of $300 and $600, while the arrow pointing to the right would represent the increase of $900. However, since the total change in price is 0, the two arrows would cancel each other out and the final position on the number line would be the same as the sticker price position.