Question

A zookeeper weighed an African elephant to be 9 × 103 to the power of 3 pounds and an African lion to be 4 × 102 to the power of 2 pounds. How many times greater is the weight of the elephant than the weight of the lion?

A) 2.25 times 10 to the power of 1

B) 5

C) 13 times 10 to the power of 5

B) 3.6 times 10 to the power of 6

Answer 1

`2.25* 10^1` times greater is the weight of the elephant than the weight of the lion.

Explanation:

Given : A zookeeper weighed an African elephant to be
`9* 10^3` pounds and an African lion to be
`4* 10^2` pounds.

To find : How many times greater is the weight of the elephant than the weight of the lion?

Solution :

A zookeeper weighed an African elephant to be
`9* 10^3` pounds.

A zookeeper weighed an African lion to be
`4* 10^2` pounds

Now, Divide the weighed an African elephant with weighed an African lion to determine times greater is the weight of the elephant than the weight of the lion,

`n=(9* 10^3)/(4* 10^2)`

`n=2.25* 10^1`

Therefore, Option A is correct.

`2.25* 10^1` times greater is the weight of the elephant than the weight of the lion.

Answer 2

Because the weight of the elephant is raised to the power of 3, while that of the lion is raised to the power of 2, the ratio should be the weight of elephant to lion.


Ratio = (9×10³)/(4×10²) = 22.5 or 2.25×10¹

The answer is A.