What Is the Rate of Change Of $f ( t ) = \frac { 7 t - 5 } { t + 2 }$

question 17

Multiple Choice

What is the rate of change of $f ( t ) = \frac { 7 t - 5 } { t + 2 }$ with respect to t when t = 2?

• A) \(\frac { 9 } { 4 }\)
• B)4
• C) \(\frac { 19 } { 16 }\)
• D) \(\frac { 17 } { 4 }\)

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Definitions:

Downward-sloping

A graphical representation indicating a negative relationship between two variables, such as price and quantity demanded in the demand curve.

Elasticity of Demand

A measure of how much the quantity demanded of a good responds to a change in the price of that good, quantitatively expressed as the percentage change in quantity demanded divided by the percentage change in price.

Inelastic

An inelastic good or service has a demand that does not change significantly when its price goes up or down.

Insensitive to Price

A characteristic of demand wherein the quantity demanded by consumers changes very little with a change in the product's price.