Based on the given data, all the true statements include;
C. If James threw his fishing net 64 times, then he caught 8 fish.
D. The equation F=1/8N can be used to calculate the number of fish James caught given the number of times he threw out his fishing net.
Since the ratio of the number of times James threw out his fishing net, N, to the number of times he caught a fish, F, was 8:1, a ratio table that models the situation is given by;
N F
8 1
16 2
24 8
32 4
Based on the ratio table, the constant of proportionality is given by;
F = kN
k = F/N
k = 1/8
In this context, an equation that models the ratio table can be written as follows;
F = 1/8(N)
F = 1/8 × 64
F = 8 fish.
32 = 1/8(N)
N = 8 × 32
N = 256 times.
Complete Question:
James went on a fishing trip. The ratio of the number of times he threw out his fishing net, N, to the number of times he caught a fish, F, was 8:1. Based on this data, select all true statements.
Select all that apply.
The equation N=1/8F can be used to calculate the number of times James threw out his fishing net given the number of fish he caught.
If James caught 32 fish, then he threw his fishing net 4 times.
If James threw his fishing net 64 times, then he caught 8 fish.
The equation F=1/8N can be used to calculate the number of fish James caught given the number of times he threw out his fishing net.
The equation F=8N can be used to calculate the number of fish James caught given the number of times he threw out his fishing net.