Hey i need help pleaseee

I will need to first fine the (select) but i will try to explain it. :)

Step-by-step explanation:

So you'll have to find the select button and see which number are in there first. So the number would be in the first one

In 2000 the total amount of gamma ray bursts was recorded at 6.4 million for a city.

We assume at 2000, t=0.

When t=0  then  gamma ray bursts y= 6.4 million. that is (0,6.4)

In 2005, the same survey was made and the total amount of gamma ray bursts was 7.3 million

In 2005 , t= 5

When t=5  then  gamma ray bursts y= 7.3 million. that is (5, 7.3)

Frame an equation using  (0,6.4)  and (5, 7.3)

Use equation y = a(b)^t and solve for a  and b

(0,6.4)  => so a= 6.4

(5, 7.3) => 7.3=6.4(b)^5

Now take fifth root on both sides

b= 1.0266

So the equation becomes

Now we need to find out t  when gamma ray bursts 1 billion

1 billion = 1000 millions

So we replace y by 1000 and we solve for t

Divide by 6.4  and take ln on both sides

We move the exponent 't' before ln

Now divide both sides by ln(1.0266)

t = 192.419

It will take around 192 years

2000+ 192= 2192

 In 2192, the gamma ray bursts is 1 billion