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OpenStax, Algebra and Trigonometry 2e §4.1 Linear Functions · Exercise 11 · Algebra · Graphs

Linear Functions · Exercise 11

Find an equation of the line given two points.

Derek notices the amount he receives in tips each night is a linear function of the number of tables he waits on. On Friday evening he waits on 22 tables and receives $87 in tips, and on Tuesday evening he waits on 18 tables and receives $73 in tips.
ⓐ Record the information given above as two data points.
ⓑ Find the slope of this linear function in terms of \frac{\}{t a b l e}$.
ⓒ Write a linear function S(t) that will let him estimate the amount in $ in tips he will receive as a function of tables, t, waited on.

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OpenStax, Algebra and Trigonometry 2e · §4.1 Linear Functions · Exercise 11

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