Question

which problem can be shown using the equation $2 \times 8 = 16$?
a rabbit jumps 2 feet. a kangaroo jumps 16 feet. the kangaroo jumps than the rabbit.
a rabbit jumps 2 feet. a kangaroo jumps 8 feet. the animals jump 16
a rabbit jumps 2 feet. a kangaroo jumps 16 feet. the kangaroo jumps as the rabbit.
a rabbit jumps 2 feet. a kangaroo jumps 8 feet. the kangaroo jumps as the rabbit.

Explanation:

Step1: Analyze each option

• Option 1: Talks about how much farther the kangaroo jumps, which would involve subtraction, not multiplication.
• Option 2: Talks about the total distance both jump, which would involve addition (2 + 8), not multiplication.
• Option 3: If the kangaroo jumps as many times as the rabbit (or some multiple), and the equation is \(2\times8 = 16\), if the rabbit jumps 2 feet and the kangaroo jumps 16 feet, and we consider the number of times the rabbit's jump is multiplied to get the kangaroo's jump, \(16\div2 = 8\), so the kangaroo jumps 8 times as far as the rabbit? Wait, no, let's re - examine. Wait, the equation is \(2\times8=16\). If the rabbit jumps 2 feet, and the kangaroo jumps 16 feet, and we say the kangaroo jumps \(8\) times as far as the rabbit (since \(2\times8 = 16\)). Let's check the option: "A rabbit jumps 2 feet. A kangaroo jumps 16 feet. The kangaroo jumps as the rabbit." Wait, maybe the option is "A rabbit jumps 2 feet. A kangaroo jumps 16 feet. The kangaroo jumps 8 times as the rabbit." (maybe a typo in the original option). But let's check the other options again.
• Option 4: "A rabbit jumps 2 feet. A kangaroo jumps 8 feet. The kangaroo jumps as the rabbit." This would not give \(2\times8 = 16\) as the kangaroo only jumps 8 feet.

Wait, maybe the correct option is the third one (assuming a typo in the option text). Let's re - evaluate the equation \(2\times8 = 16\). If we think of the rabbit's jump length as 2, and the number of times that length is multiplied is 8, to get the kangaroo's jump length of 16. So if a rabbit jumps 2 feet, and a kangaroo jumps 16 feet, and we say the kangaroo jumps 8 times as far as the rabbit, that is modeled by \(2\times8=16\).

Step2: Eliminate incorrect options

• Option 1: Subtraction - based, eliminate.
• Option 2: Addition - based, eliminate.
• Option 4: The kangaroo only jumps 8 feet, which is not 16, eliminate.

Answer:

The correct option (assuming the third option has a typo and means "A rabbit jumps 2 feet. A kangaroo jumps 16 feet. The kangaroo jumps 8 times as far as the rabbit.") is the third option among the given options (the one with "A rabbit jumps 2 feet. A kangaroo jumps 16 feet. The kangaroo jumps as the rabbit." with the intended meaning of 8 times as far).