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nekit [7.7K]
3 years ago
7

A bathtub is draining at a constant rate. After 2 minutes, it holds 30 gallons of water. Three minutes later, it holds 12 gallon

s of water. Write an equation that represents the number y of gallons of water in the tub after x minutes.
Mathematics
1 answer:
iris [78.8K]3 years ago
7 0

3 minutes - 2 minutes = 1 minute

30 gallons - 12 gallons = 18 gallons

 it is draining at 18 gallons per minute

equation would be: y = -18x

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<span>We can determine, a 30/25/15 series trade discount would be calculated as follows:

let X = retail price.

X - 0.30 </span>× X = Y    ⇒ first discounted price.
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Z - 0.15*Z = T        </span>⇒ total discounted price.
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X - 0.30 </span>× X = (1 - 0.30) × X = 0.70 × X = Y
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Y - 0.25 </span>× Y = (1 - 0.25) × Y = 0.75 × Y = Z
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Z - 0.15 </span>× Z  = (1 - 0.15) × Z  = 0.85 × Z = T
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since Z = 0.85 </span>× Y, then 0.85 × Z = 0.85 × 0.75 × Y
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since Y = 0.70 </span>× X, then 0.85 × Z = 0.85 × 0.75 × 0.70 × X
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based on the above, then T = total discount


                                               = 0.85 </span>× 0.75 × 0.70 × X


                                               = 0.44625X<span>

30/25/15 series discount is equivalent to a total discount of 44.625%
</span>
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