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Question 630583: I have a word problem that I need help with,please.
The total sales of a company in 2008 were $45,000. In 2011, it grew to 84,000. Use x as the number of years since 2000 and y as the total sales.
What is the rate of change(slope) in the total sales?
Write an equation in bith point-slope form and slope-intercept form modeling the company's sales
What are the prodected sales for the year 2016?(16 years after 2000}
Found 2 solutions by josmiceli, lwsshak3:
Answer by josmiceli(19441)   (Show Source):
Answer by lwsshak3(11628)  (Show Source):
You can put this solution on YOUR website! I have a word problem that I need help with,please.
The total sales of a company in 2008 were $45,000. In 2011, it grew to 84,000. Use x as the number of years since 2000 and y as the total sales.
What is the rate of change(slope) in the total sales?
Write an equation in bith point-slope form and slope-intercept form modeling the company's sales
What are the projected sales for the year 2016?(16 years after 2000}
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This problem is a linear relationship covered by the standard form of equation for a straight line: y=mx+b, m=slope, b=y-intercept. two points on the curve: (8,45000) and (11,84000)
For given problem:
slope,m=∆y($)/∆x(yrs)=(84000-45000)/2011-2008=39000/3=13000 ($/yr)
equation: y=13000x+b
using coordinates of one of given points: (8, 45000)
45000=13000*8+b
45000=104000+b
b=-59000
equation: y=13000x-59000 (slope-intercept form)
or
y-45000=13000(x-8) (point-slope form)
For year 2016:
y=13000*16-59000=208000-59000=149000
projected sales for the year 2016=$149,000
note: This is a revision of an earlier solution which was not correct
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