(08.04 mc) christina bought a yoyo from a company that claims that, with each retraction, the string rolls up by 70% 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 2.1
3 1.47

answers:

9.99
9.72
3.24
0.12

9.72

Step-by-step explanation: We can use the equation, a1 - a1(r^n)/1 - r

a1 = first term of sequence (3)

r = common ratio (0.70)

n = position of term in sequence (10)

1. 3 - 3(0.70)^10/1 - 0.70

2. 3 - 3(0.0282475)/0.30

3. 3 - 0.0847426/0.30

4. 2.91526/0.30

5. 9.72 is the sum of the lengths.

linear

step-by-step explanation: