anonymous
  • anonymous
you have a part time job at a local restraunt. One evening you work 3 hours and earn 20.25. on Saturday you work 6 hours and earn 40.50. determine your hourly wage, the rate of the change.
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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roadjester
  • roadjester
Is this a calc problem? it mentions "rate of change" which is a derivative in calculus
anonymous
  • anonymous
rate of change just means compute the slope of \[(3,20.25), (6,40.5)\]
roadjester
  • roadjester
although, i would just say, if it's a simple problem, make it (amount earned)/(number of hours worked)

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roadjester
  • roadjester
so you get dollars per hour which is still a rate of change
anonymous
  • anonymous
a really dumb question since unless you get paid for just showing up you might as well divide \[\frac{20.25}{3}\]
roadjester
  • roadjester
6.75 dollars/hour
anonymous
  • anonymous
no reason to compute a slope for sure. unless you get money for clocking in. you make $6.75 per hour
roadjester
  • roadjester
as long as you have something/something, it's a rate of change
amistre64
  • amistre64
20.25 ------- ; it the second data point wasnt a scalar of the first then wed have to 3 do a little more work to find the average hourly pay
anonymous
  • anonymous
It's about 6.80
amistre64
  • amistre64
if I work for 3 hours and make 20.25; then I expect to work for 6 hours at the same pay scale and make 40.50 since I worked twice as long
amistre64
  • amistre64
we can put in a 0 pay for 0 hours work and see if it matches up to a line or a quad :)
amistre64
  • amistre64
pay = 6.75h
anonymous
  • anonymous
this is a dumb question yes
amistre64
  • amistre64
(6,40.50) (3,20.25) --------- (3,20.25); slope = y/x = 20.25/3 = 6.75
anonymous
  • anonymous
wage = pay / time worked. they gave us
amistre64
  • amistre64
not really 'dumb'. Its a simple question yes; but not a 'dumb' question perse..
anonymous
  • anonymous
sorry guys, im not a math person....

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