Question #5ab04

1 Answer
Mar 19, 2017

(a) # "PayRate" = 1/2 xx "YearsOfExperience" + 8 " dollars"#
(b) # "Predicted Pay Rate After 14 Years" = $15"/hour"#

Explanation:

This looks as if it is a linear relation with

  • #y# pay (in dollars per hour) at about #8# for #x# (years of experience) equal to #0#; and
  • rising to about #y=18# when #x=20#.

This would give an equation with a y-intercept of #8# and
a slope of #(Deltay)/(Deltax)=(18-8)/(20-0)=10/20=1/2#

The slope-intercept form of the equation would be:
(a)#color(white)("XXX")y = 1/2x+8#

For an employee with #x=14# years of experience, this would give a predicted hourly rate (in dollars):
(b)#color(white)("XXX")y=1/2 * 14 + 8 =15#