<em>If the rate is a constant, the relationship is proportional.</em> (The rate is the constant of porportionality.)
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For two or more points on the function curve, divide the dependent variable value by the independent one. If you get the same result in every case, the relationship is porportional.
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<em>Note</em>
For some non-proportional relationships, it is possible to find points on the graph that will pass the above test. If you suspect the relationship is actually not one of proportionality, try more points. Check also to make sure that (0, 0) is on the curve.
Recall that the area under a curve and above the x axis can be computed by the definite integral. If we have two curves
<span> y = f(x) and y = g(x)</span>
such that
<span> f(x) > g(x)
</span>
then the area between them bounded by the horizontal lines x = a and x = b is
To remember this formula we write
20/5=4
25/7=<span>3.57142857143 Rounded to the nearest tenth: 3.6
4>3.6
If you want the nearest whole, you would round down to 3 because you would be short of 4.
3<4 </span>
A 90º degree angle is a right angle. Anything below is an acute angle and anything more than 90º is an obtuse angle.
2 x = 72
4 n = 7.5
6 no solution (the variable cancelled itself out)
8 no solution
10 x = 43
12 y=-5.83-x
14 <em>(P-2l)/2 = w</em>
16 Your team's score was 85 (because you scored 13 more points than the other team and 72 + 13 = 85).
18 The other scientist had the greater temperature (950 C > 1725 F), since 950 C = 1742 F
