Refer to the relationship between price and demand given in...

Refer to the relationship between price and demand given in Problem $69 .$ (A) Complete the following table. Approximate each value of $x$ to the nearest hundred cases. $$\begin{array}{|l|lll|}\hline x & & & \\\hline y & 35 & 40 & 45 \\\hline\end{array}$$ (B) Does the demand increase or decrease if the price is increased from $\$ 40$ to $\$ 45 ?$ By how much? (C) Does the demand increase or decrease if the price is decreased from $\$ 40$ to $\$ 35 ?$ By how much?

Refer to the relationship between price and demand given in Problem $69 .$
(A) Complete the following table. Approximate each value of $x$ to the nearest hundred cases.
$$\begin{array}{|l|lll|}\hline x & & & \\\hline y & 35 & 40 & 45 \\\hline\end{array}$$
(B) Does the demand increase or decrease if the price is increased from $\$ 40$ to $\$ 45 ?$ By how much?
(C) Does the demand increase or decrease if the price is decreased from $\$ 40$ to $\$ 35 ?$ By how much?

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Key Concepts

Functional Relationships

This concept involves understanding how one quantity depends on another through a mathematical rule or function. In contexts such as economics, it typically describes how a change in one variable, like price, affects another variable, like demand.

Rounding and Approximation

This concept pertains to estimating numerical values to a desired level of precision. It is crucial when working with real-world data, ensuring that values are communicated in a clear and understandable format, such as rounding figures to the nearest hundred.

Interpreting Dependent and Independent Variables

This key concept highlights the roles of variables in a function where one variable (the independent variable) determines the value of another (the dependent variable). In economic models, such as those describing price-demand relationships, it is important to identify which variable is being manipulated and which responds to that change.

Comparative Analysis of Function Values

This concept involves analyzing the difference in the output of a function when the input values are altered. It is used to assess the impact of changes in one variable on another, for example, determining how an increase or decrease in price affects demand.

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