Product Pricing – Web 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 second attempt? Explain. ____________
Answer: We should instead select the equipment costs per time he got the test. initially big date: three hundred ? 1/ten = 300 ? ten = 3000 2nd go out: 3 hundred ? 1/several = three hundred ? several = 3600 The following time has a more quickly device price as the 3600 > 3000.
Answer: Get the tool costs per bar from the separating the expenses by just how many bars. the newest a dozen prepare contains the most useful speed for every bar. 10-pack: ? 10 = step 1.537 ? 1.54 twelve-pack: ? a dozen ? 1.29
Answer: First, discover the final number of oz of the multiplying just how many taverns moments exactly how many oz for every single pub. next discover the unit pricing for every ounce by isolating the costs from the final amount off oz the new ten-package contains the most useful rates for every ounce. 10-pack: ten ? 2.step 1 = 21 oz 12-pack: 12 ? step 1.cuatro = sixteen.8 ounces 10-pack: ? 21 ? 0.73 12-pack: ? sixteen.8 ? 0.91
The relationship anywhere between x and you can y is actually y = 5x
Answer: New ten-pack was a much better offer just like the rate each ounce is actually a far greater scale to utilize than simply price for each bar. What amount of pubs does not tell you the way you are already buying since taverns can be extremely quick meaning the number out of ounces you’re in reality buying was short.
Question fifteen. Search for Reasonableness A painter decorated about half a bedroom into the 1 / 2 of day. Coley projected new painter do painting 7 room in 7 days. Is Coley’s imagine reasonable? Explain. ____________
Answer: If a painter can also be color half a room in a half go out, then he is also paint step 1 area when you look at the a day. This would be equivalent to paint 7 bedroom when you look at the 7 days so his estimate makes sense. seven bedroom ? one week = 1/2 room ? 1/two days
Matter 16municate Mathematical Records If you know the pace of good water drip for the gallons per hour, how can you find the level of times it takes for step one gallon in order to problem away? Validate their respond to. Sort of lower than: ____________
Answer: Once you know the interest rate for the gallons per hour, then your speed when you look at the circumstances for every gallon is the reciprocal away from the pace from inside the gallons each hour. Example: When the h2o try leaking at a level of five gallons for each hour, it is leaking from the step 1/5 hr for each and every gallon.
Concern 1. Based on the recommendations from the desk, is the relationships between time and what number of words composed a great proportional relationship?
Explanation: Because the 45 ? step 1 = 45, 90 ? 2 = forty five, 135 ? step three = 45 and you may 180 ? cuatro = 45, the connection are proportional. Hence the relationship with the above table are proportional.
Explanation: Brand new picture try of one’s function y = kx very k = y/x. Replacing opinions away from x and you will y from the desk brings k = 10/2 = 5. Plugging which worthy of to your y = kx gives the equation 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 https://datingranking.net/pl/dine-app-recenzja/ y = \(\frac<1><4>\)x.
Explanation: An effective proportional relationship can invariably end up being depicted by the a picture away from the form y = kx in which ks is the constant regarding proportionality and you will means the newest rate of one’s improvement in the latest y amounts about the fresh new x wide variety.