Ginny has two quarters. For every week that Ginny does all of her chores, her mother increases the amount of money Ginny has exponentially. The equation y=0.5*3^x represents the amount of money that Ginny has after x weeks of doing all of her chores. What does the term 3^x tell you about the situation?
each week the money triples.
btw, it looks like y is measured in dollars, not the number of quarters.
In the equation y = 0.5 * 3^x, the term 3^x represents the exponential increase in the amount of money that Ginny has after x weeks of doing all of her chores.
To understand this better, let's break it down:
- The base of the exponential term, which is 3, represents the factor by which Ginny's money increases each week she completes her chores.
- The exponent, x, represents the number of weeks during which Ginny has consistently done all of her chores.
So, when we raise 3 to the power of x, we are essentially calculating the exponential growth or increase in Ginny's money over time.
In the given equation, y = 0.5 * 3^x, the term 3^x represents the exponential growth factor in the situation.
Each week that Ginny does all of her chores, her mother increases the amount of money she has exponentially. The base of the exponential function is 3, which means that her money is multiplied by 3 each week. The exponent, x, represents the number of weeks that Ginny has been doing her chores consistently.
So, the term 3^x tells us how many times Ginny's mother multiplies the initial amount of money (represented by 0.5) by itself (multiplies it by 3) for each week Ginny continues doing her chores.