Device Cost – Page No. 122
Question 13. Analyze Relationships Eli takes a typing test and types all 300 words in \(\frac<1><10>\) hour. He takes the test a second time and types the words in \(\frac<1><12>\) hour. Was he faster or slower on the wyszukiwanie blackfling second attempt? Explain. ____________
Answer: We must get the equipment pricing for every go out he grabbed the exam. very first day: 300 ? 1/10 = 300 ? 10 = 3000 next time: 300 ? 1/several = three hundred ? 12 = 3600 Another time has a quicker device price since 3600 > 3000.
Answer: Discover product cost for every pub because of the dividing the costs of the the amount of bars. this new a dozen package provides the most readily useful price for every single club. 10-pack: ? ten = 1.537 ? step one.54 a dozen-pack: ? 12 ? 1.31
Answer: Basic, find the final number regarding ounces by multiplying how many pubs minutes the number of oz for each and every bar. upcoming get the product costs for each and every oz from the breaking up the expense by final number out-of ounces brand new ten-prepare gets the better speed for each ounce. 10-pack: 10 ? dos.1 = 21 ounces a dozen-pack: a dozen ? 1.4 = sixteen.8 oz ten-pack: ? 21 ? 0.73 12-pack: ? sixteen.8 ? 0.91
The partnership ranging from x and you can y are y = 5x
Answer: The fresh new ten-pack is actually a far greater deal just like the speed per oz are a far greater level to make use of than simply price for every single bar. What amount of pubs will not show the way you are generally to order just like the taverns can be quite short meaning the amount out-of oz you’re actually buying is actually quick.
Concern fifteen. Identify Reasonableness An artist decorated about 50 % a room for the 1 / 2 of a day. Coley estimated new painter create paint 7 bedroom for the seven days. Is actually Coley’s estimate reasonable? Establish. ____________
Answer: If the an artist can also be decorate 1 / 2 of a room during the a half go out, then is also decorate 1 space when you look at the a day. This will be comparable to paint seven room when you look at the 1 week so his imagine is practical. 7 rooms ? one week = 1/2 room ? 1/2 days
Concern 16municate Analytical Information Once you know the pace from a h2o leak inside gallons each hour, how will you discover level of times it requires to have 1 gallon in order to drip out? Justify your own answer. Type below: ____________
Answer: If you know the speed in the gallons hourly, then the rates when you look at the hours for every gallon is the mutual of the rate during the gallons hourly. Example: If water try dripping at a rate of five gallons for every hours, then it is leaking from the step 1/5 hours for every gallon.
Concern step one. According to research by the information throughout the table, ‘s the relationship between time and exactly how many terms penned a great proportional dating?
Explanation: While the forty-five ? 1 = forty five, ninety ? 2 = 45, 135 ? 3 = forty five and you can 180 ? cuatro = 45, the partnership are proportional. Ergo the partnership on the over desk try proportional.
Explanation: The fresh equation was of one’s function y = kx very k = y/x. Substituting philosophy away from x and you can y on the dining table gives k = 10/dos = 5. Plugging that it worth towards y = kx provides the picture y = 5x.
Explanation: The equation is of the form y = kx so k = y/x. Substituting values of x and y from the table gives k = 2/8 = \(\frac<1><4>\). Plugging this value into y = kx gives the equation y = \(\frac<1><4>\)x.
Explanation: A proportional matchmaking can still getting portrayed from the an equation from the shape y = kx in which ks ‘s the constant regarding proportionality and you can represents the rate of change in new y number with regards to the newest x numbers.