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?

Respuesta :

Answer:

1165

Step-by-step explanation:

Here we have an exponential function, [tex]y=ab^x[/tex] 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 [tex]b=1.013>1[/tex], which means that live births to unmarried mothers grew.

In the [tex]1990, t=0[/tex] because t represents the number of years after 1990, so, then we get:

[tex]B=1165*10^0(1.013)^0\\B=1165[/tex]

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