Use the paragraph and table to choose a response.
When a bungee cord jumper jumps, the cord stretches and then rebounds upward. The distances of the first four upward rebounds for a particular bungee jumper are given in the table below.
Rebound 1 2 3 4
Distance (ft.) 50 40 32 25.6
Write both a recursive formula and an explicit formula for the distance on the nth rebound. Then find the approximate distance of the 7th rebound to the nearest tenth of a foot.
(1 point)
Responses
Recursive formula: an+1=an⋅0.8, a1=50; Explicit formula: an=50⋅0.8n−1; Distance of the 7th rebound: a7=10.5 ft.
Recursive formula: a subscript n plus 1 baseline equals a subscript n baseline times 0.8 comma a subscript 1 baseline equals 50 ; Explicit formula: a subscript n baseline equals 50 times 0.8 superscript n minus 1 baseline ; Distance of the 7th rebound: a subscript 7 baseline equals 10.5 ft.
Recursive formula: an+1=an⋅0.8, a1=50; Explicit formula: an=50⋅0.8n−1; Distance of the 7th rebound: a7=13.1 ft.
Recursive formula: a subscript n plus 1 baseline equals a subscript n baseline times 0.8 comma a subscript 1 baseline equals 50 ; Explicit formula: a subscript n baseline equals 50 times 0.8 superscript n minus 1 baseline ; Distance of the 7th rebound: a subscript 7 baseline equals 13.1 ft.
Recursive formula:an+1=an−8, a1=50; Explicit formula: an=50−8(n−1); Distance of the 7th rebound: a7=2.0 ft.
Recursive formula: a subscript n plus 1 baseline equals a subscript n baseline minus 8 comma a subscript 1 baseline equals 50 ; Explicit formula: a subscript n baseline equals 50 minus 8 left parenthesis n minus 1 right parenthesis ; Distance of the 7th rebound: a subscript 7 baseline equals 2 ft.
Recursive formula: an+1=an⋅1.25, a1=25.6; Explicit formula: an=25.6⋅1.25n−1; Distance of the 7th rebound: a7=97.7 ft.
1 answer
1 answer