Suppose the depth of a lake can be described by the function y = 321(0.976)x, where x represents the number of weeks from today. Today, the depth of the lake is 321 ft. What will the depth be in 6 weeks? Round your answer to the nearest whole number. The depth of the lake will be ft. In 6 weeks.

The lake will be 1879.776 fts deep in six weeks.

Step-by-step explanation:

The depth of the lake as the weeks passes is given by the equation y = 321*(0.976)*x. So if we need to find the depth of the lake in six weeks, we have to attribute that value to x and solve the equation, as seen bellow:

y = 321*(0.976)*x = 321*(0.976)*6 = 1879.776 fts

The lake will be 1879.776 fts deep in six weeks.

step-by-step explanation:

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: