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You are watching: The quantities of s and t are positive

You are watching: The quantities of s and t are positive

Re: The amounts S and T are positive and also are related by the equation S=<#permalink>18 Sep 2020, 06:55

Plugging in values is going to be the easiest means to resolve this trouble. Lots of numbers would job-related. You can use S = 10, k = 20, and also T = 2 bereason 10 = 20/2.

**Now, if you increase S by 50%, you obtain 15. Use this to find the new T:> S = k/T> 15 = 20/T> 15T = 20> T = 20/15 = 4/3So, T goes from 2 to 4/3. Calculate the percent decrease:> Percent change = Difference/Original × 100%> Percent adjust = ⅔ / 2 × 100% = ⅓ × 100% = 33 ⅓%**

Re: The amounts S and also T are positive and are related by the equation S=<#permalink>24 Sep 2020, 07:37

The quantities S and T are positive and are connected by the equation S=K/T, wright here k is a continuous. If the value of S rises by 50 percent, then the worth of T decreases by what percent?

Re: The amounts S and also T are positive and are related by the equation S=<#permalink>24 Sep 2020, 07:37

The quantities S and T are positive and are connected by the equation S=K/T, wright here k is a continuous. If the value of S rises by 50 percent, then the worth of T decreases by what percent?

**A. 25%B. 33 ¹/₃%C. 50%D. 66 ²/₃%E. 75%**

Solution:Notice that S = k/T indicates ST = k. Due to the fact that the value of S boosts by 50 percent, S has a multiplier of 1.5. Now we can let m = the multiplier of T and also develop the equation: (1.5S)(mT) = k1.5m(ST) = k1.5m(k) = k1.5m = 1m = 1/1.5 = 2/3Because m, the multiplier of T, is 2/3, we see that the value of T need to decrease by 1/3 or 33 ⅓% to preserve the provided partnership between S and also T.Alternating Solution:Let’s let S = 4 and T = 3. We check out that ST = k = 12. Now, if S rises by 50%, its new value is 6, and so 6T = k = 12, and we watch that T have to currently equal 2. Using the percent change equation (New - Old)/Old x 100, the percent readjust of the worth of T, from 3 to 2, is: (2 - 3)/3 x 100 = -⅓ x 100 = -33.3%, or a 33.3% decrease.Answer: B_________________

TargetTestPrep.comSolution:Notice that S = k/T indicates ST = k. Due to the fact that the value of S boosts by 50 percent, S has a multiplier of 1.5. Now we can let m = the multiplier of T and also develop the equation: (1.5S)(mT) = k1.5m(ST) = k1.5m(k) = k1.5m = 1m = 1/1.5 = 2/3Because m, the multiplier of T, is 2/3, we see that the value of T need to decrease by 1/3 or 33 ⅓% to preserve the provided partnership between S and also T.Alternating Solution:Let’s let S = 4 and T = 3. We check out that ST = k = 12. Now, if S rises by 50%, its new value is 6, and so 6T = k = 12, and we watch that T have to currently equal 2. Using the percent change equation (New - Old)/Old x 100, the percent readjust of the worth of T, from 3 to 2, is: (2 - 3)/3 x 100 = -⅓ x 100 = -33.3%, or a 33.3% decrease.Answer: B_________________

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Re: The quantities S and T are positive and are associated by the equation S=<#permalink>25 Sep 2020, 08:47

The amounts S and T are positive and also are associated by the equation S=K/T, wbelow k is a consistent. If the value of S rises by 50 percent, then the value of T decreases by what percent?S" = K/T" = K/1.5T = 2K/3T = (1-1/3)K/TIMO B_________________

Re: The amounts S and also T are positive and also are associated by the equation S=<#permalink>25 Sep 2020, 08:55

Given s=k/tLet s 100 ;t =k/100Later with 50% boost of S we gett=k/150% increase(k/100-k/150)k/1003-2/3;1/3 ;33.33%Option B

The amounts S and T are positive and also are related by the equation S=K/T, where k is a constant. If the worth of S boosts by 50 percent, then the worth of T decreases by what percent?A. 25%B. 33 ¹/₃%C. 50%D. 66 ²/₃%E. 75%

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