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Which equation describes the story below? You have 
$5 and triple your money every day.
a 
y=15 x
b 
y=5(3x)
c 
y=5(3)^(x)
d 
y=5^(x)
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Which equation describes the story below? You have $5 \$ 5 and triple your money every day.\newlinea) y=15x y=15 x \newlineb) y=5(3x) y=5(3 x) \newlinec) y=5(3)x y=5(3)^{x} \newlined) y=5x y=5^{x}

Full solution

Q. Which equation describes the story below? You have $5 \$ 5 and triple your money every day.\newlinea) y=15x y=15 x \newlineb) y=5(3x) y=5(3 x) \newlinec) y=5(3)x y=5(3)^{x} \newlined) y=5x y=5^{x}
  1. Identify initial amount and rate: Identify the initial amount of money and the rate of increase. The story starts with $5\$5 and the money triples every day. This means the initial amount is $5\$5 and the rate of increase is a multiplication by 33 each day.
  2. Determine mathematical representation: Determine the mathematical representation of the rate of increase.\newlineTripling your money every day can be represented by raising 33 to the power of xx, where xx is the number of days. This is because each day, the money is multiplied by 33.
  3. Combine initial amount and rate: Combine the initial amount with the rate of increase to form an equation.\newlineThe initial amount is $5\$5, and it needs to be multiplied by the rate of increase, which is 33 raised to the power of xx. The equation that represents this situation is y=5×3xy = 5 \times 3^x.
  4. Match equation with choices: Match the equation with the given choices.\newlineThe equation we have found is y=5×3xy = 5 \times 3^x. This matches with choice (c) y=5(3)xy = 5(3)^x.