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What is the rate of change for each representation below?

a) The rate of change is $2.25 per candy bar.
b) The rate of change is $2.00 per candy bar.
c) The rate of change is $1.25 per candy bar.
d) The rate of change is $1.50 per candy bar.

1 Answer

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The rate of change is specifically the change in cost per candy bar, which has been provided for four different scenarios. This concept relates to the slope in mathematics and is similar to calculating the percentage change in scenarios like pay raises, where the new rate is divided by the original rate and multiplied by 100%.

The question asked involves understanding the concept of rate of change, which in the context given relates to the price change per item (candy bar) sold. The rate of change here can also be related to the concept of slope in mathematics, where, in a linear equation, the slope indicates how much the dependent variable (e.g., cost) changes for a one unit increase in the independent variable (e.g., number of candy bars).

In terms of percentage change, if you consider a hypothetical situation where you receive a $2 raise from a $10 per hour job, the percentage change is calculated as the change in quantity over the original quantity, which is $2/$10, leading to a 20% increase. When expressed as a formula, percentage change is:

Percentage Change = (Change in Quantity / Original Quantity) × 100%

The rate of change for each candy bar price option provided does not require a percentage calculation since it is already given in terms of dollars per candy bar. However, if we wanted to express these as a percentage, it would similarly involve dividing the rate of change by the original price of the candy bar, assuming it is known, and then multiplying by 100 to get the percentage change.

User Szymon Kuzniak
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