HiSET: Math : Write a function that describes a relationship between two quantities

Study concepts, example questions & explanations for HiSET: Math

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Example Questions

Example Question #1 : Write A Function That Describes A Relationship Between Two Quantities

is a linear function defined on the set of real numbers. Four values of are given in the following table: 

Give the definition for .

Possible Answers:

Correct answer:


By the two-point formula, the equation of a line through points is


where , the slope of the line. The choice of the two points from the given four is arbitrary, so we will select the middle two ordered pairs. Substituting , then

The first formula becomes

Since , solve for . First, distribute throughout the difference at right:

Isolate by adding 10 to both sides:

Replacing, the definition of is


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