Respuesta :

Using an exponential function, it is found that if the original statement is true, [tex]3.52 \times 10^{15}[/tex] children were killed by guns in 1995.

Exponential function:

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

  • A(0) is the initial value.
  • r is the increase rate, as a decimal.

In this problem:

  • Researching on the internet, the original problem states that the number of children killed by guns has doubled each year since 1950, hence there is an increase of 100% every year, that is, [tex]r = 1[/tex].
  • 100 children were killed by guns in 1950, hence [tex]A(0) = 100[/tex].

Then:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 100(1 + 1)^t[/tex]

[tex]A(t) = 100(2)^t[/tex]

1995 is 45 years after 1950, hence:

[tex]A(45) = 100(2)^{45} = 3.52 \times 10^{15}[/tex]

If the original statement is true, [tex]3.52 \times 10^{15}[/tex] children were killed by guns in 1995.

To learn more about exponential functions, you can take a look at https://brainly.com/question/25537936