A social networking site currently has 7,000 actiave memembers. if the site loses 5% of its active members, each month, determine the range and domain of this situation

see the explanation

Step-by-step explanation:

we know that

The equation of a exponential decay function is equal to

where

y is the number of active members

x is the number of months

a is the initial value (y-intercept)

r is the rate of change

we have

substitute

The domain of the function is the interval [0,∞)

Remember that the number of months cannot be a negative number

Te range of the function is the interval (0,7,000]

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents