SOLUTION: Each week 5 new office phones are installed in a major network company. At the beginning of March, 200 phones had already been installed. Write a linear equation to model this situ

Question 1166940: Each week 5 new office phones are installed in a major network company. At the beginning of March, 200 phones had already been installed. Write a linear equation to model this situation. Do not use spaces in the equation.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the linear equation is y=m*x+b
m is the slope.
b is the y-intercept.

in this problem:
y = the total number of phones that are installed
x = the number of weeks from march 1.

on march 1, x = 0.
this makes the y-intercept of the equation equal to 200 because the y-intercept is the value of y when x = 0.
when x = 0, the equation becomes y = m*0 + b which simplifies to y = b.
the equation becomes y=m*x+200
each week, 5 new phones are installed.
this makes m = 5.
the equation becomes y=5x+200

that should be your solution.
when x = 0, y = 200
when x = 1, y = 205
when x = 2, y = 210
when x = 10, y = 250
etc.....

x = 0 means march 1.
x = 1 means 1 week after march 1.
x = 2 means 2 weeks after march 1.
x = 10 means 10 weeks after march 1.
etc.....

the equation can be graphed as shown below.

the actual dates can be found as follows:
x = 0 is march 1
x = 1 is march 8
x = 2 is march 15
x = 10 is may 10
etc.....

you just look at the calendar and count the weeks from march 1.

RELATED QUESTIONS
Each day 5 new office phones are installed in a major network company. At the beginning... (answered by ikleyn)

Loyola Heights has 3000 phones of which 3/5 are dial phones. If 2/3 of these dial phones... (answered by josmiceli)

A manufacturer of cell phones makes a profit of $25 on a deluxe model and $30 on a... (answered by drk)

what is the answer to this equation? alan and joe work at two different cell phone (answered by josmiceli)

15. Milltown has 1,600 phones, of which � are dial. If 1/3 of these are replaced by... (answered by Alan3354)

A cell phone company orders 800 new phones from a manufacturer. If the probability of a (answered by phxladyphx@yahoo.com)

A cell phone company orders 600 new phones from a manufacturer. If the probability of a... (answered by ikleyn)

A shop sells calculators and phones. 2/3 of the calculators is equal to 6/11 of the... (answered by greenestamps)

a cell phone company found that 15 of their phones sold in june were defective. The... (answered by richwmiller)