Answer:
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 !
Answer:
Correct choice is b. 1036 fish.
and c. 1791 fish.
Step-by-step explanation:
Given equation is [tex]f(x)=500(1.2)^x[/tex].
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
[tex]f(x)=500(1.2)^x[/tex]
[tex]f(x)=500(1.2)^{4}[/tex]
[tex]f(x)=500(2.0736)[/tex]
[tex]f(x)=1036.8[/tex]
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
[tex]f(x)=500(1.2)^{7}=1791.5904[/tex]
Hence correct choice is c. 1791 fish.
