Subjects algebra

Price Percentage 2C80Fb

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1. The problem involves understanding the relationship between price $x$ and a percentage $y$ that ranges from 0% to 100%, with a specific value $y=110$ given. 2. We interpret the first arrow as a scale for $x$ (price in dollars) from 0 to 110. 3. The second arrow represents a percentage scale from 0% to 100%, with a marked point at 90%. 4. To relate $x$ and $y$, we assume a linear relationship where $y$ is a percentage of the maximum price 110. 5. The formula for $y$ as a percentage of $x$ is: $$y = \frac{x}{110} \times 100\%$$ 6. To find $x$ when $y=90\%$, rearrange the formula: $$x = \frac{y}{100\%} \times 110$$ 7. Substitute $y=90\%$: $$x = \frac{90}{100} \times 110 = 0.9 \times 110 = 99$$ 8. Therefore, when $y=90\%$, the price $x$ is 99 dollars. This explains how to convert between the price and the percentage scale shown in the graph.