Constant Prices away from Transform – Guided Behavior – Webpage No. 126

Product Costs – 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 need to find the tool rates for every time the guy took the exam. 1st go out: three hundred ? 1/ten = 3 hundred ? ten = 3000 second date: three hundred ? 1/several = 3 hundred ? twelve = 3600 The second time has a more quickly equipment speed as 3600 > 3000.

Answer: Select the equipment cost for every single club by splitting the expenses by the what amount of pubs. brand new several package contains the top price for every single bar. ten-pack: ? ten = step 1.537 ? 1.54 12-pack: ? several ? step 1.30

Answer: Earliest, get the final amount of oz because of the multiplying how many taverns minutes the number of ounces each club. upcoming select the device cost per ounce of the separating the costs because of the final amount from oz new 10-prepare contains the better speed for each ounce. 10-pack: 10 ? dos.step 1 = 21 oz twelve-pack: several ? 1.4 = sixteen.8 oz 10-pack: ? 21 ? 0.73 several-pack: ? 16.8 ? 0.91

The relationship anywhere between x and you will y was y = 5x

Answer: New ten-pack try a much better deal since the rate for each and every ounce is a much better level to utilize than speed each bar. Just how many bars doesn’t inform you how you already are to find as pubs can be very brief meaning the amount off oz you’re in fact purchasing is actually brief.

Concern 15. Identify Reasonableness An artist painted about 50 % a bedroom for the 50 % of twenty four hours. Coley estimated brand new artist carry out color seven room inside the one week. Are Coley’s guess practical? Explain. ____________

Answer: In the event that an artist is decorate 50 % of a-room for the a 1 / 2 date, then can also be decorate step 1 room for the 24 hours. This could be equal to decorate seven bedroom for the 1 week very their guess is sensible. eight rooms ? seven days = 1/2 area ? 1/two days

Matter 16municate Statistical Information If you know the pace from good liquids problem when you look at the gallons each hour, how do you select the amount of period it entails to have step one gallon so you can leak out? Justify your own answer. Types of lower than: ____________

Answer: Knowing the pace in gallons by the hour, then your speed in the era for each and every gallon ’s the reciprocal from the rate inside gallons per hour. Example: If the drinking water are dripping for a price of 5 gallons for each hr, then it is leaking on step one/5 hour for every single gallon.

Concern 1. In accordance with the suggestions regarding the dining table, is the relationship ranging from some time and the amount of terms published good profile getiton proportional relationships?

Explanation: Because 45 ? step one = 45, ninety ? dos = 45, 135 ? step three = forty five and you can 180 ? cuatro = forty five, the relationship try proportional. Therefore the connection into the significantly more than dining table is proportional.

Explanation: The fresh formula are of the setting y = kx therefore k = y/x. Replacing opinions from x and you may y in the desk provides k = 10/2 = 5. Plugging which well worth into the y = kx offers 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 y = \(\frac<1><4>\)x.

Explanation: A proportional relationship can always become depicted by the a formula regarding the design y = kx where ks is the lingering from proportionality and you will represents the fresh speed of your improvement in the fresh new y amounts in terms of the newest x numbers.