The following equation represents the number of fish in a pond, f(x), after x number of weeks. f(x) = 500 (1.2)x. how many fish are in the pond after 4 weeks?
a. 600 fish
b. 1036 fish
c. 2000 fish
d. 2400 fish
how many fish are in the pond after 7 weeks?
a. 600 fish
b. 1036 fish
c. 1791 fish
d. 4200 fish

1) d. 2400

2) d.4200

Step-by-step explanation:

As per given data:

F(x) represents number of fish

x represents number of weeks

Relation between F(x) and x is given as

F(x)= 500 (1.2)x

Now part 1:

How many fish are in the pond after 4 weeks=?

x=4

Putting in given equation  F(x)= 500 (1.2)x

F(x)= 500(1.2)(4)

     = 2400

Now part 2:

How many fish are in the pond after 7 weeks?

x=7

Putting in given equation  F(x)= 500 (1.2)x

F(x)= 500(1.2)(7)

     = 4200 !

Correct choice is b. 1036 fish.

and c. 1791 fish.

Step-by-step explanation:

Given equation is .

There x represents number of weeks. We need to find about wow many fish are in the pond after 4 weeks.

To find that we will plug x=4 into above formula and simplify

Which is approx 1036

Hence correct choice is b. 1036 fish.

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We can repeat same process with x=7 for 2nd problem

Hence correct choice is c. 1791 fish.

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c