SOLUTION: A company manufatures an alarm clock.3 weeks ago the company had 250 on hand 2 weeks from now the company will have 500.Assume the company will continue to make the clocks at the s

Algebra.Com
Question 118279: A company manufatures an alarm clock.3 weeks ago the company had 250 on hand 2 weeks from now the company will have 500.Assume the company will continue to make the clocks at the same rate. To writ the expresson,define a variable for the time in weeks from today and use this variable to writ a rule for the number of clocks manufactured.I have used so many different ways to write this and even went threw a math tutor site that gave me an answer that it wouldn't take.250=(50)(-3)+b 250=(50)(-3)+400 500=(50)2+400 we just can't figure out what it wants for the expression.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A company manufatures an alarm clock.3 weeks ago the company had 250 on hand 2 weeks from now the company will have 500.Assume the company will continue to make the clocks at the same rate. To writ the expresson,define a variable for the time in weeks from today and use this variable to writ a rule for the number of clocks manufactured.I have used so many different ways to write this and even went threw a math tutor site that gave me an answer that it wouldn't take.250=(50)(-3)+b 250=(50)(-3)+400 500=(50)2+400 we just can't figure out what it wants for the expression.
--------------------
You have two points relating week and # of clocks: (-3,250) and (2,500)
With these you can determine a linear equation:
slope = [500-250]/[2--3] = 250/5 = 50
---------
Equation form is # of clocks = slope*week + b
Substitute one of the point values and the slope value to solve for "b":
250= 50*-3+b
b = 250+150 = 400
EQUATION:
# of clocks = 50(week) + 400
==============
You had the answer; you just didn't know you had the answer.
===============
Cheers,
Stan H.

RELATED QUESTIONS

A company manufactures an alarm clock. Three weeks ago the company had 250 on hand. Two... (answered by stanbon)
A company manufactures an alarm clock. Three weeks ago the had 250 on hand. Two weeks... (answered by lynnlo)
A company manufactures an alarm clock. Three weeks ago the had 250 on hand. Two weeks... (answered by Fombitz)
Acompany manufactures an alarm clock. Three weeks ago the company had 250 on hand. Two... (answered by Alan3354)
1. In 2017, the Acme Company had 30 individuals with recordable injuries, four... (answered by ikleyn)
A company produces alarm clocks. During the regular​ workweek, the labor cost for... (answered by Alan3354,ikleyn)
1. In 2017, the Acme Company had 30 individuals with recordable injuries, four... (answered by ikleyn)
Just would like to know how I would go about answering this problem. I am really getting... (answered by Theo)