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 discover equipment pricing for each and every day the guy got the exam. 1st date: 3 hundred ? 1/10 = 3 hundred ? ten = 3000 next go out: 300 ? 1/several = 3 hundred ? twelve = 3600 Next the years have a quicker equipment rate once the 3600 > 3000.

Answer: Discover tool cost for every bar from the dividing the expenses because of the what amount of pubs. new 12 package comes with the most readily useful price for each pub. 10-pack: ? 10 = step one.537 ? step one.54 several-pack: ? several ? step 1.30

Answer: Basic, discover the final number out-of ounces because of the multiplying the amount of taverns minutes what number of ounces for each club. next select the device prices for every oz from the isolating the expenses by total number away from ounces the newest ten-package comes with the top price for every single ounce. 10-pack: 10 ? dos.1 = 21 ounces 12-pack: several ? 1.4 = sixteen.8 ounces 10-pack: ? 21 ? 0.73 a dozen-pack: ? sixteen.8 ? 0.91

Answer: Brand new 10-prepare is a better price since rate for each ounce try a much better size to make use of than simply rate for each club. What amount of bars doesn’t let you know the method that you seem to be to invest in because the pubs can be very brief meaning the amount out of oz you are indeed buying try small.

Matter 15. Search for Reasonableness An artist decorated approximately half an area from inside the 1 / 2 of twenty four hours. Coley projected the new artist create color 7 bedroom in one week. Is actually Coley’s estimate reasonable? Determine. ____________

Answer: In the event that an artist can be painting half a space in a 1 / 2 go out, then he is painting step one place into the 1 day. This will be equal to decorate seven room within the 1 week thus his estimate makes sense. eight rooms ? 7 days = 1/dos area ? 1/two days

Question 16municate Mathematical Information Once you know the rate regarding an excellent h2o drip in the gallons each kod rabatowy latinomeetup hour, how can you select the amount of circumstances it needs having step 1 gallon so you’re able to drip away? Validate their respond to. Sorts of less than: ____________

Answer: Once you know the speed when you look at the gallons by the hour, then your price into the occasions for each gallon ‘s the mutual out of the interest rate for the gallons hourly. Example: In the event that liquids is leaking for a price of five gallons for each and every hours, then it is dripping during the step one/5 hour for each gallon.

Question step one. In accordance with the guidance regarding dining table, is the relationship between some time and what amount of conditions had written a beneficial proportional dating?

Explanation: Given that forty-five ? step one = forty-five, ninety ? dos = forty five, 135 ? 3 = forty-five and you can 180 ? cuatro = forty-five, the partnership are proportional. For this reason the relationship for the above table was proportional.

Explanation: Brand new equation was of one’s setting y = kx very k = y/x. Replacing thinking off x and you can y about dining table offers k = 10/dos = 5. Plugging so it really worth towards the y = kx provides 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: An effective proportional dating can still be illustrated because of the a formula out of the proper execution y = kx in which ks ‘s the ongoing regarding proportionality and you will stands for the brand new price of change in new y quantity in relation to the latest x number.