Question

question 16:Valentina bought a yoyo from a company that claims that with each retraction, the string rolls up by 30% of the original length. She set up a tape measure and threw the yoyo three times. Her data are shown in the table.

Answer 1

The length after the first throw is

`L_1=3`

The strings rolls up by 30% of the original length

Hence,

The length after the second throw will be

`L_2=(30)/(100)*3=0.9`

The length after the third throw will be

`L_3=(30)/(100)*0.9=0.27`

The length after the fourth throw will be

`L_4=(30)/(100)*0.27=0.081`

The length after the fifth throw will be

`L_5=(30)/(100)*0.081=0.0243`

Hence,

To calculate the sum of the length after 5 throws, we will use the formula below

`L=L_1+L_2+L_3+L_4+L_5`

By substituting the values, we will have

`\begin{gathered} L=L_(1)+L_(2)+L_(3)+L_(4)+L_(5) \\ L=3+0.9+0.27+0.081+0.0243 \\ L=4.2753 \\ L\approx4.28(nearest\text{ hundredth\rparen} \end{gathered}`

Hence,

The final answer is = 4.28 feet