SOLUTION: A biologist recorded 11 snakes on 24 acres in one area and 13 snakes on 49 acres in another area. Find a linear equation that models the number of snakes in X acres. I am real

Algebra ->  Graphs -> SOLUTION: A biologist recorded 11 snakes on 24 acres in one area and 13 snakes on 49 acres in another area. Find a linear equation that models the number of snakes in X acres. I am real      Log On


   



Question 694856: A biologist recorded 11 snakes on 24 acres in one area and 13 snakes on 49 acres in another area. Find a linear equation that models the number of snakes in X acres.

I am really stuck on this question, any help would be greatly appreciated!
Thanks!

Answer by Ave(106) About Me  (Show Source):
You can put this solution on YOUR website!
so if acre is x that would make snakes y so lets make a couple of ordered pairs
(24(acres),11(snakes)) and (49(acres), 13(snakes))
(24,11) and (49,13) lets find the slope
(13-11)/(49-24)
2/25=slope
Use point slope form to find an equation slope 2/25, (24,11)
y-11=%282%2F25%29%28x-24%29 multiply both sides by 25 to get rid of the fraction
25y-275=2(x-24)
25y-275=2x-48 add 275 to both sides
25y=2x+227 divide by 25
y=%282%2F25%29x%2B227%2F25 <--slope intercept form
or
2x-25y=-227 <--standard form