Describe an example in which two variables are strongly correlated, but changes in one do not cause changes in the other.
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Let x ft be the lenght of the fence and y ft be the width of the fence.
1. The length of the habitat should be at least 80 feet, then
2. The perimeter of the habitat should be no more than 300 feet. The perimeter of the fenceis 2x+2y ft, then
3. The system of inequalities that represent the model is
The graph of these inequalities is attached.
Two possible solutions are
- x=100 ft, y=20 ft (100≥80 and 2·100+2·20=240≤300);
- x=110 ft, y=30 ft (110≥80 and 2·110+2·30=280≤300).
Carter's salary is $1.1138⁶ more than Salma's salary.
<h3>How much larger is Carter's salary than Salma's?</h3>To perform the difference, we need to be able to take a common factor.
We know that Salma's salary is $6.2×10⁴
While Carter's salary is $1.2×10⁶
To get the same common factor, 10⁴, we can divide and multiply Carter's salary by 100, so we get:
Then Carter's salary is $120*10⁴
The difference between Carter's and Salma's salaries is:
$120*10⁴ - $6.2×10⁴ = $113.8*10⁴
If we return to the scientific notation, we get:
$113.8*10⁴ = $1.1138⁶
This means that Carter's salary is $1.1138⁶ more than Salma's salary.
If you want to learn more about scientific notation:
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