Write and solve a compound inequality to model the possible length of the dog run.
The inequality to model the possible length of the dog run is;. 100 ≤ 2.50x ≥ 200
And the possible length of the dog run is 80ft.
Minimum spending = $100
Maximum spending = $200
Cost per square feet = $2.50
let
x = possible number of square feet
The inequality:
100 ≤ 2.50x ≥ 200
This means possible number of square feet constructed is greater than or equal to $100 or less than or equal to $200
solve:
100 ≤ 2.50x ≥ 200
divide the inequality into 2
100 ≤ 2.50x
x ≤ 100/2.5
x ≤ 40
the other part:
2.50x ≥ 200
x ≥ 200/2.50
x ≥ 80
Therefore,
the possible length of the dog run is 80 feet
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