Question

In the U.S during the 1990s, live births to unmarried mothers, B, grew according to the exponential model B=1.165×10^t(1.013)^t, where t is the number of years after 1990. What does the model give as the number of live births to unwed mothers in 1990?

Answer 1

1165

Explanation:

Here we have an exponential function,
`y=ab^x` and it is one of the most important functions in the mathematics. In this case, the independet variable is the exponent.

Here, this function represents growth because
`b=1.013>1`, which means that live births to unmarried mothers grew.

In the
`1990, t=0` because t represents the number of years after 1990, so, then we get:

`B=1165*10^0(1.013)^0\\B=1165`

In this case, the model gives us information about the number of live births to unmarried mothers in 1990.