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# Constant Costs of Change – Directed Practice – Webpage No. 126

Constant Costs of Change – Directed Practice – Webpage No. 126

## Tool Costs – 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 have to find the device pricing for each big date the guy got the exam. first time: three hundred ? 1/ten = 300 ? 10 = 3000 2nd day: 300 ? 1/a dozen = 3 hundred ? several = 3600 Next time has a quicker product price as 3600 > 3000.

Answer: Discover device costs for every single club of the splitting the expense because of the what amount of pubs. the fresh 12 pack comes with the top price per club. 10-pack: ? ten = step one.537 ? step one.54 several-pack: ? a dozen ? step 1.31

Answer: Basic, select the final number regarding ounces from the multiplying the number of taverns times the amount of oz for every bar. upcoming find the equipment rates each oz of the splitting the expenses by the final number regarding ounces the ten-package provides the ideal price for each ounce. 10-pack: 10 ? dos.step 1 = 21 oz several-pack: a dozen ? step one.cuatro = 16.8 oz ten-pack: https://datingranking.net/pl/blk-recenzja/ ? 21 ? 0.73 a dozen-pack: ? sixteen.8 ? 0.91

## The relationship anywhere between x and you may y was y = 5x

Answer: The new ten-package is a better deal once the rates for every single oz try a better scale to utilize than just rate for every club. What amount of pubs doesn’t tell you the method that you are already to find once the pubs can be very brief definition the number from ounces you are indeed to invest in are brief.

Matter 15. Look for Reasonableness A painter painted about half a-room in half of twenty four hours. Coley projected the artist carry out color seven room when you look at the seven days. Is actually Coley’s imagine sensible? Establish. ____________

Answer: In the event the an artist can painting half of a-room inside a half day, then can painting step one area inside the 1 day. This could be equivalent to painting eight room during the seven days therefore his guess is practical. 7 bed room ? one week = 1/dos space ? 1/two days

Matter 16municate Analytical Details Knowing the speed regarding an effective liquid leak into the gallons each hour, how will you find the quantity of era it requires to have step 1 gallon so you can leak aside? Justify their answer. Sort of lower than: ____________

Answer: If you know the rate when you look at the gallons hourly, then the rate in the circumstances for each and every gallon is the mutual of the rate inside gallons by the hour. Example: If the water are dripping for a price of five gallons for every hour, then it is leaking on step 1/5 hours for each gallon.

Matter 1. Based on the advice in the desk, is the matchmaking between some time and how many terminology penned an excellent proportional matchmaking?

Explanation: While the forty-five ? step 1 = 45, 90 ? 2 = forty five, 135 ? step 3 = 45 and 180 ? cuatro = 45, the relationship are proportional. Hence the connection towards the a lot more than desk are proportional.

Explanation: The new formula try of form y = kx therefore k = y/x. Substituting philosophy from x and you can y on desk gets k = 10/dos = 5. Plugging that it worth toward y = kx gives 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 great proportional relationships can invariably end up being depicted by the a formula of the form y = kx where ks ‘s the lingering away from proportionality and you can represents the price of your change in the brand new y wide variety in relation to the fresh new x number.