4-7 Equivalent Formulas Temperature Scales _________ scales are based on the boiling point which is ____ & freezing point of ___. __________________ scales are based on the boiling point which is ___ , and freezing point of __. ______scale is based on _______ ____ which is when an object has no ____ and the mole- cules stop ______ : ___________________

Celsius to Fahrenheit : Fahrenheit to Celsius, solve this equation Converting Temperatures 9 5 F = C + 32 Celsius to Fahrenheit : Fahrenheit to Celsius, solve this equation for C.

1. Consider the formula A = p + pr, 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. a. Solve this formula for p. b. Solve this formula for r.

2. Solve C = 2πr for the variable r. C is the circumference of a circle with radius r. 3. A formula for the area of a sphere is A = 4πr². Solve the formula for r. Explain what you do in each step.

Putting r over 1 creates a _________ which can be solved 4. If a coin is tossed and H heads and T tails appear, the relative frequency r of heads is expressed by the formula a. Solve this formula for T. Putting r over 1 creates a _________ which can be solved by _____________.

-10 < x < 10 & -10 < y < 10 5. Use a graphing calculator to graph -7x + 3y = 18. What equation would you need to enter into the calculator? Graphing calculators ____ have the equation __________. Use the window: -10 < x < 10 & -10 < y < 10

7x 3 + 6 10 y = -10 10

The radius is 31.85 m. The radius is 27.07 m. P – 2t = r 2π 6. The radius is 31.85 m. The radius is 27.07 m. P – 2t = r 2π 400 – 2(100) = r 2(3.14) 200 = r 6.28 31.847… = r P – 2t = r 2π 400 – 2(115) = r 2(3.14) 170 = r 6.28 27.070… = r P = 2l + 2w C = 2πr P = 2t + 2πr -2t -2t P – 2t = 2πr 2π 2π