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Suppose that the total annual consumption of salmon in a certain country is given by y = 5.59x + 837.5 and that the total annual consumption of tuna in this country is given by y = 1.49x + 878.5, where consumption is measured in millions of pounds and x is the number of years since 2010. When consumption of salmon reaches consumption of tuna, what is the annual consumption of salmon? 897.87 million pounds 890.42 million pounds 894.89 million pounds 893.4 million pounds

Answer :

Answer:

893.4 million pounds

Step-by-step explanation:

Total annual consumption of salmon is given by [tex]y=5.59x+837.5[/tex]

Total annual consumption of tuna is given by [tex]y=1.49x+878.5[/tex]

As consumption of salmon is equal to the consumption of tuna,

[tex]5.59x+837.5=1.49x+878.5\\5.59x-1.49x=878.5-837.5\\4.1x=41\\x=\frac{41}{4.1}\\ x=10[/tex]

Put [tex]x=10[/tex] in [tex]y=5.59x+837.5[/tex] to find total annual consumption of salmon.

Therefore,

Total annual consumption of salmon = [tex]5.59(10)+837.5=893.4[/tex] million pounds

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