SOLUTION: City growth in the number of fires for a certain city are related by linear equation. records show that 113 fires occurred in a year when the local population was 150,000 and at th

Question 953015: City growth in the number of fires for a certain city are related by linear equation. records show that 113 fires occurred in a year when the local population was 150,000 and at the rate of increase in the number of fires was one for every thousand residents.
A.) using the variables P for population an F for the fires, write any equation in slope intercept form that the fire department can use to predict future fire statistics.
B.) how many fires can be expected when the population reaches 200,000?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
City growth in the number of fires for a certain city are related by linear equation. records show that 113 fires occurred in a year when the local population was 150,000 and at the rate of increase in the number of fires was one for every thousand residents.
A.) using the variables P for population an F for the fires, write any equation in slope intercept form that the fire department can use to predict future fire statistics.
B.) how many fires can be expected when the population reaches 200,000?
***
let y=number of fires
let x=population
equation: y=mx+b, m=slope, b=y-intercept
given: point(150,000,113)
slope,m=1/1000
equation:
y=x/1000+b
solve for b
113=150,000/1000+b
113=150+b
b=-37
A.) equation: y=x/1000-37
y=200000/1000-37=163
B.) how many fires can be expected when the population reaches 200,000? 163
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