Jessa bought a yoyo from a company that claims that, with each retraction, the string rolls up by 60% of the original length. She sets up a tape measure and throws the yoyo 3 times. Her data are charted below. Throw Length of string (feet) 1 3 2 1.8 3 1.08 Jessa wants to find the sum of the length of string after 10 throws. What is the sum of the lengths, rounded to the nearest hundredth?

Question

Chessie

Mathematics

4 February, 05:31

Jessa bought a yoyo from a company that claims that, with each retraction, the string rolls up by 60% of the original length. She sets up a tape measure and throws the yoyo 3 times. Her data are charted below. Throw Length of string (feet) 1 3 2 1.8 3 1.08 Jessa wants to find the sum of the length of string after 10 throws. What is the sum of the lengths, rounded to the nearest hundredth?

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Answers (1)

Know the Answer?

Davion Cole · Answer 1

The correct answer is:

11.08 ft.

Explanation:

Each time we multiply the previous length by 60%, or 0.6. This makes the lengths, starting with #4:

0.0648; 0.69984; 0.7558272; 0.816293376; 0.8815968461; 0.9521245938; and 1.0282894561.

Adding these together, we get 11.07877638, which rounds to 11.08.