Part 1 of 12
The table below shows the length and weight of a species of fish. Complete parts (a) and (b).
Red Length (in.)
Weight (lb)
Fish Lengths and Weights
4
6
8
1.24 1.45 1.70
10
1.99
12
2.33
(a) Find an exponential model for the data.
1)
The exponential model for the data is y=
(Use integers or decimals for any numbers in the expression. Round to three decimal places as
Frr

Respuesta :

The exponential function is given by y = 0.9(1.082)ˣ

Exponential function

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the fish weights at x inches.

Using point (4, 1.24):

1.24 = ab⁴   (1)

Using point (10, 1.99):

1.99 = ab¹⁰  (2)

From equation 1 and 2:

b = 1.082, a = 0.9

The exponential function is given by y = 0.9(1.082)ˣ

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