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An equation that models the decline in the number of US farms is y=3,962,000e−0.02t where t is the number of years since 1960 and y is the number of farms.

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MrRoyal

The decline in the number of farms means there is a reduction in the number of farms

The number of US farms after 5 years is 3584818

How to determine the number of farms

The equation that represents the number of farms is given as:

[tex]y=3962000e^{-0.02t[/tex]

After 5 years, the value of t is 5.

So, we have:

[tex]y=3962000e^{-0.02*5[/tex]

Evaluate the product

[tex]y=3962000e^{-0.1[/tex]

Evaluate the exponent

[tex]y=3962000*0.9048[/tex]

Evaluate the product

[tex]y=3584817.6[/tex]

Approximate

[tex]y=3584818[/tex]

Hence, the number of US farms after 5 years is 3584818

Read more about exponential equations at:

https://brainly.com/question/11832081

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