Q. Which equation describes the story below? You have $5 and triple your money every day.a) y=15xb) y=5(3x)c) y=5(3)xd) y=5x
Identify initial amount and rate: Identify the initial amount of money and the rate of increase. The story starts with $5 and the money triples every day. This means the initial amount is $5 and the rate of increase is a multiplication by 3 each day.
Determine mathematical representation: Determine the mathematical representation of the rate of increase.Tripling your money every day can be represented by raising 3 to the power of x, where x is the number of days. This is because each day, the money is multiplied by 3.
Combine initial amount and rate: Combine the initial amount with the rate of increase to form an equation.The initial amount is $5, and it needs to be multiplied by the rate of increase, which is 3 raised to the power of x. The equation that represents this situation is y=5×3x.
Match equation with choices: Match the equation with the given choices.The equation we have found is y=5×3x. This matches with choice (c) y=5(3)x.