titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and…

titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 8 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is ( wapprox - 0.414t + 129.549 ), where ( t ) is the number of minutes and ( w ) is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups? 150 minutes 160 minutes 170 minutes 180 minutes

titus works at a hotel. part of his job is to keep the complimentary pitcher of water at least half full and always with ice. when he starts his shift, the water level shows 8 gallons, or 128 cups of water. as the shift progresses, he records the level of the water every 10 minutes. after 2 hours, he uses a regression calculator to compute an equation for the decrease in water. his equation is ( wapprox - 0.414t + 129.549 ), where ( t ) is the number of minutes and ( w ) is the level of water. according to the equation, after about how many minutes would the water level be less than or equal to 64 cups? 150 minutes 160 minutes 170 minutes 180 minutes

Answer

Explanation:

Step1: Substitute ( W = 64 ) into the equation

We have the equation ( W=-0.414t + 129.549 ). Substitute ( W = 64 ) into it: ( 64=-0.414t + 129.549 ).

Step2: Solve for ( t )

First, subtract ( 129.549 ) from both sides: ( 64 - 129.549=-0.414t ). So, ( - 65.549=-0.414t ). Then, divide both sides by ( - 0.414 ): ( t=\frac{-65.549}{-0.414}\approx158.33 ).

Answer:

160 minutes