Equipment Prices – Webpage Zero. 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 second attempt? Explain. ____________
Answer: We must discover the product prices for every big date the guy grabbed the exam. very first big date: three hundred ? 1/ten = 3 hundred ? 10 = 3000 second day: 300 ? 1/12 = 300 ? a dozen = 3600 The following time has a quicker unit rates just like the 3600 > 3000.
Answer: Select the tool costs per pub by splitting the costs by the number of bars. the latest a dozen prepare contains the greatest rate for each and every bar. 10-pack: ? ten = step one.537 ? step one.54 several-pack: ? several ? 1.29
Answer: Basic, get the total number away from oz of the multiplying exactly how many taverns moments the amount of oz each club. after that discover product pricing for every oz by the breaking up the expense of the total number from oz the latest ten-package comes with the greatest price each ounce. 10-pack: 10 ? 2.1 = 21 ounces twelve-pack: 12 ? 1.cuatro = sixteen.8 ounces ten-pack: ? 21 ? 0.73 several-pack: ? sixteen.8 ? 0.91
The partnership between x and you may y are y = 5x
Answer: New 10-prepare try a far greater contract as the rate for each and every ounce is actually a far greater scale to make use of than rates for every pub. What number of taverns will not let you know the manner in which you seem to be to shop for because the bars could be extremely quick definition the quantity out-of oz you are in reality to buy try short.
Question fifteen. Identify Reasonableness A painter painted approximately half a bedroom from inside the 50 % of a day. Coley projected the fresh new artist carry out paint 7 bedroom during the one week. Is Coley’s guess realistic? Explain. ____________
Answer: In the event the an artist can painting half a-room for the an one half big date, then he is painting step one room in the twenty four hours. This would be equivalent to color 7 rooms during the one week so their imagine is reasonable. 7 bed room ? one week = 1/dos place ? 1/two days
Question 16municate Analytical Suggestions Knowing the rate away from a beneficial water problem for the gallons hourly, how do you find the number of era it requires for 1 gallon so you can problem aside? Validate their respond to. Variety of below: ____________
Answer: Once you learn the rate within the gallons per hour, then rates inside circumstances for every gallon ‘s the reciprocal regarding the interest rate in gallons each hour. Example: In the event the liquids was dripping at a level of 5 gallons for each hour, then it is dripping at the step one/5 hour for each and every gallon.
Concern 1. Based on the information from the dining table, is the matchmaking ranging from some time the number of terms and conditions had written a proportional relationship?
Explanation: Once the forty-five ? step 1 = forty-five, 90 ? dos = 45, 135 ? 3 = forty five and 180 ? 4 = forty-five, the relationship was proportional. For this reason the partnership towards the over table are proportional.
Explanation: The fresh new picture is of your own means y = kx very k = y/x. Substituting beliefs out of x and you can y throughout the desk offers k = 10/2 = 5. Plugging it worthy of to the y = kx provides the formula 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 good proportional relationships can still be represented because of the a formula regarding the form y = kx where ks ‘s the lingering off proportionality and you will represents brand new rate of your change in the latest y amounts about this new x wide variety.