Jacqueline leaves city a at 2:00 p. m. and drives at a constant speed, traveling west on i-90. she passes city b, 40 mi from city a, at 2:50 p. m. (a) find a linear function d that models the distance (in mi) she has traveled after t min.

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Mathematics

Johnathan Joyce

31 August, 21:04

Jacqueline leaves city a at 2:00 p. m. and drives at a constant speed, traveling west on i-90. she passes city b, 40 mi from city a, at 2:50 p. m. (a) find a linear function d that models the distance (in mi) she has traveled after t min.

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Barrett Nolan · Answer 1

Ans : Linear functions are those whose graph is a straight line. A linear function has one independent variable and one dependent variable. The independent variable is x (which is the distance Jacqueline travels) dependent variable is y (which is Speed, in mi/h) Now the equation becomes : Speed (y) = Distance (D) / Time (X). Then the speed at which Jacqueline traveled : y = D/X y = 40/50 = 0.8 mi/minute = 0.8 x 60 = 48 mi/hour. We create a liner function and the two variables are x (Independent, Time) & y (Dependent, Speed). (D) is the coefficient of the independent variable x.