Problema Solution
a home security company provides security systems for $5 per week, plus and installation fee. the total cost for installation and 12 weeks of service is $210. write point-slope form of an equation to find the total fee y for any number of weeks x. what is the installation fee?
Answer provided by our tutors
Let 'f' represent the installation fee then:
12*5 + f = 210
60 + f = 210
f = 210 - 60
f = $150
The installation fee is $150.
The "point-slope" form of the equation of a straight line is:
y − y1 = m(x − x1), where (x1, y1) is one point from the line and m is the slope
In our case one point is (12, 210), the slope is m = 5:
y - 210 = 5(x - 12)
y = 5x + 150