Maths-
SAT
Easy
Question
Questions 31 and 32 refer to the following information
The length C(t), in inches, of a channel catfish in an Iowa river t years after the first year of life can be approximated by the linear function C. Some values of C(t) are given in the table above.
F(t) = 3t + 4
The length F(t), in inches, of a flathead catfish in the same Iowa river t years after the first year of life can be approximated by the linear function F, defined by the equation above.
According to the model, which of the following is closest to the expected age, to the nearest whole year, of a flathead catfish that is 31 inches long?
- 10 years old
- 13 years old
- 98 years old
- 106 years old
The correct answer is: 10 years old
F(t) = 31 = 3t + 4
27 = 3t
t = 9
c(t) mx + b
m = 
y = 2.5x + b
8.5 = 2.5 + b
b = 6
C(t) = 2.5x + 6 = 31
2.5x = 25
x = 6
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