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Topic: How would you solve this math problem?**Question:**
A cable network's policy is to cancel any show once the number of viewers falls below 50,000 people. In the first week that Variety Weekly aired on the network, it was viewed by 256,000 people. Each week after that, the number of viewers fell by 25% from the previous week. In what week did the network cancel Variety Weekly?

June 20, 2019 / By Anstace

After one week, the network viewers total 256000(1 - 0.25). The next week, the total is 256000(1 - 0.25)(1 - 0.25) After w weeks, the total is 256000(1 - 0.25)^w The question then is: at what value of integer w does the total equal or go below 50000? 50000 = 256000(1 - 0.25)^w ---> 0.1953125 = (1 - 0.25)^w ---> log(0.1953125) = w log(0.75) w = 5.677 ---> w = 6th week

👍 238 | 👎 5

Did you like the answer? 2/3 of 150 gallons is (2/3)*(150 = 100 gallons 1 cap of solution is required for each 20 gallons there are 5 (20 gallons) in 100 gallons: 100/20 = 5 For each of those 5 you need 1 cap You need 5 full caps of solution if the tank is 2/3 full. (150)(2/3)/20)*1 = 5 For future applications, simply divide the number of gallons by 20. That's the number of full caps you need to use. For example, if the tank is full with 150 gallons of water: 150/20 = 7.5 → 7 1/2 caps of solution

10 ml = 1 full cap of solution and 10 ml is required to clean every 20 gallons of water. The stock tank holds 150 gallons, but is currently only 2/3 the way full. 5 caps of solution is required to clean the current amount of water in the stock tank. I found what I need at Petco and most of the bottles say 5ml of solution for every 10 gallons. 5 ml is half a cap of the solution lid so I doubled that for fewer measuring instances and now my head is running in circles as I confuse myself on how many full caps to use.

WEEK 1: 256,000 Viewers WEEK 2: 192,000 Viewers 256,000 x .25 = 64,000 256,000 - 64,000 = 192,000 For week 3 you'll get 192,000 multiply it by .25 for 25%. And when you get that answer subtract it from week 2 to Get your week 3 answer. And do it until you fall below 50,000.

👍 100 | 👎 -2

you multiply 260,000 by 0.25 to get the 2ND week, then that answer by 0.25, until you get an answer lower then 50,000. that will be your answer ( how many times you multiplies by 0.25)

👍 96 | 👎 -9

Hint: Set up the system of inequalities. Make notes of special key words, such as "at least". Good luck!

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