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course mth 151
8/4
Question: `q7.3.18 (1/3) / 6 = 1/18. Is this ratio equation valid or not and how did you determine your answer?
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Your solution:
18 * 1/3 = 18 / 3 = 6, the equation 18 * 1/3 = 6 is true, which verifies the original equality
3
Ok
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Question: `q7.3.20 z/8 = 49/56. Solve this proportionality for z.
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Your solution:
z = 7
3
Show work
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Question: `q7.3.42 8 oz .45; 16 oz. .49; 50 oz. 1.59`sb Which is the best value per unit for green beans and how did you obtain your result?
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Your solution:
16 oz for .49 is the best value at 3.06 cents / oz
3
Ok
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Question: `q7.3.45 triangles 4/3, 2, x; 4, 6, 3. What is the value of x and how did you use an equation to find it?
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Your solution:
x / 3 = 2 / 6 we solve to get x = 1
3
Ok
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Question: `qIf z = 9 when x = 2/3 and z varies inversely as x, find z when x = 5/4. Show how you set up and used an equation of variation to solve this problem.
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Your solution:
z = k x: z is proportional to x
3
Ok
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Question: `q7.3.72. Illumination is inversely proportional to the square of the distance from the source. Illumination at 4 ft is 75 foot-candles. What is illumination at 9 feet?
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Your solution:
The illumination at distance 9 is about 14.8.
4
Ok
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Question: `q7.3.66 length inv prop width; L=27 if w=10; w = 18. L = ?
Explain how you set up and used a variation equation to obtain the length as a function of width, giving your value of k. Then explain how you used your equation to find the length for width 18
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Your solution:
Set up the variation equation L = k / w, which is the inverse proportion.
Use L = 27 when w = 10 to get
27 = k / 10, which gives you
k = 27 * 10 = 270.
Now we know that L = 270 / w.
So if w = 18 you get
L = 270 / 18 = 15
3
Ok
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