How do I identify the initial value and the growth or decay for these problems?
a) Q=25000 x (1/2)^t
b) y=350 x 5*
c) N=5000 x (9/10)^t
To identify the initial value and the growth or decay for these problems, let's break down each equation step by step:
a) Q = 25000 x (1/2)^t
In this equation, the initial value is 25000. The base of the exponential term is (1/2). If the base is between 0 and 1, it represents decay, and if it's greater than 1, it represents growth. In this case, since (1/2) is less than 1, it represents decay.
b) y = 350 x 5*
In this equation, the initial value is 350. However, it seems like a part of the equation is missing. It would be easier to identify growth or decay if the complete equation is provided.
c) N = 5000 x (9/10)^t
The initial value is 5000. Similar to the first equation, the base of the exponential term is (9/10). Since (9/10) is less than 1, it represents decay.
To summarize:
- For equation a), the initial value is 25000, and it represents decay.
- For equation b), the initial value is 350, but more context is needed to determine growth or decay.
- For equation c), the initial value is 5000, and it represents decay.