3.
Equivalent Formulas<br />Finding equivalent forms of formulas and equations<br />
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Consider This….<br />A = p + pr<br />Which gives the amount A (in dollars) after one year in a bank account that started with p dollars and which has an annual yield of r. <br />
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A = p + pr<br />Solve this formula p<br />P = A<br />1 + r<br />
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A = p + pr<br />Solve this formula for r<br />R = A - p<br />P <br />
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Equivalent Formulas (Big Idea)<br />If a formula gives a first variable in terms of a second variable, it may be possible to transform the formula to give the second variable in terms of the first….<br />(did that make sense to anyone other than a mathematician?!)<br />
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Let’s take a practical look at this….<br />Two different temperature scales are in common use throughout the world<br />The scale for the metric system is called the Celsius Scale.<br />The other scale in use is the Fahrenheit Scale.<br />In the Fahrenheit Scale, which is now used only in the United States and a few other countries, water’s freezing and boiling points are 32* and 212*<br />
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How do we interpret the numbers then??<br />Since the Fahrenheit Scale is not commonly used outside of the U.S., people have to change the Celsius temperature from their forecast into Fahrenheit using the following formula….<br />F = 1.8C + 32<br />
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Let’s Put You To The Test!!<br />A person with head circumference of 23.5 inches wears a size 7.5 baseball cap.<br />Verify: C = 23.5 and S = 7.5<br />S = C – 1 / 3<br />
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SOLVE for the given variable<br />S = 180n – 360 for n<br />F = m • a for a<br />
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