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If a car's speed is decreased by 8 mph, what is the algebraic representation?

  1. s + 8

  2. s - 8

  3. 8 - s

  4. s/8

The correct answer is: s - 8

The algebraic representation of decreasing a quantity can be formulated by subtracting that quantity from the original amount. In the context of the car's speed, if we represent the original speed of the car as "s," then to express a decrease in speed by 8 mph, we would subtract 8 from "s." This results in the expression "s - 8," which accurately reflects the reduction in speed. This formulation effectively communicates that the new speed is the original speed minus the amount of reduction, which in this case is 8 mph. The other options do not represent a decrease in speed correctly; they either add to the speed, apply incorrect operations, or divide the speed, which does not align with the requirement of indicating a decrease. Thus, the correct algebraic representation for decreasing the speed of the car by 8 mph is indeed "s - 8."