SOLUTION: There is a linear equation that expresses the cost C per week in dollars for making circuit boards in terms of the number n of circuit boards per week. If C=$1500 when n=1000, and
Algebra.Com
Question 185361This question is from textbook
: There is a linear equation that expresses the cost C per week in dollars for making circuit boards in terms of the number n of circuit boards per week. If C=$1500 when n=1000, and C=$2000 when n=2000, find the linear equation that expresses C in terms of n. What is the cost if only one circuit board is produced in a week?
Equation that expresses C in terms of n: C= mn + b
This question is from textbook
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
There is a linear equation that expresses the cost C per week in dollars for making circuit boards in terms of the number n of circuit boards per week. If C=$1500 when n=1000, and C=$2000 when n=2000, find the linear equation that expresses C in terms of n. What is the cost if only one circuit board is produced in a week?
Equation that expresses C in terms of n: C= mn + b
-------------------------------------------------------
You have 2 points (1000,1500) and (2000,2000)
--------------------------------------------
slope = (2000-1500)/(2000-1000) = 1/2
------------------------------------------
Form: C = mn + b
You know m=1/2, and you know C=2000 when n= 2000 ; solve for "b":
2000 = (1/2)2000 + b
2000 = 1000 + b
b = 1000
-----------------
Equation: C(n) = (1/2)n + 1000
========================================
Cheers,
Stan H.
RELATED QUESTIONS
The Cost of renting a car is $305 per week plus a charge of $0.63 per mile driven. Find a (answered by rfer)
a car rental agency charges $150 per week plus $0.10 per mile to rent a car.
a. write... (answered by stanbon)
Solve this word problem. The cost of 1000 cubic feed of natural gas is $39 and the cost... (answered by venugopalramana)
the cost of making x thousand pretzels per week is c=.4x^2-28x+87 and the revenue from... (answered by math_tutor2020)
I would be very thankful for your help!
1. The manager at Jen and Berry’s Ice Cream... (answered by josgarithmetic)
An electronics store sells an item costing $51 for $70 and an item costing $120 for $129. (answered by Theo)
A local zoo found that if the price of admission was 15 dollars, the attendance was about (answered by josgarithmetic)
If the charge is $16 for t=0 minutes and c=$19.50 for 35 minutes, find the linear... (answered by lwsshak3)
Celsius to Fahrenheit. Water freezes at 0 degrees C or 32 degrees F and boils at 100... (answered by rfer)