Question

Question

Answer 1

Answer:

$927,154\ people$

Step-by-step explanation:

we have a exponential function of the form

$y=a(b^x)$

where

y is the population of San Francisco

x is the number of years

a is the initial population

b is the base

r is the rate of grown

b=(1+r)

In this problem we have

$r=1.26\%=1.26/100=0.0126$

$b=1+0.0126=1.0126$

ordered pair (6, 870,887)

substitute in the exponential function $y=a(b^x)$

$870,887=a(1.0126^6)$

Solve for a

$a=870,887/(1.0126^6)$

$a=807,857\ people$

so

The exponential function is equal to

$y=807,857(1.0126^x)$

In 5 more years the number of years will be equal to

6+5=11 years

For x=11 years

substitute the value of x in the exponential function and solve for y

$y=807,857(1.0126^{11})$

$y=927,154\ people$