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Solve the problem. Sales at a certain department store follow the model y = 85 minus 13.254 x where y is the total sales in thousands of dollars and x is the number of years after 2001. What was the first year that sales fell below $50,000? a. 1999 c. 2004 b. 1998 d. 2005

Respuesta :

icetornato
To find the first year that sales fell below $50,000, we need to solve for x when y = $50,000.

Given the model: y = 85 - 13.254x

We set y = 50:

50 = 85 - 13.254x

Now, we solve for x:

13.254x = 85 - 50

13.254x = 35

x = 35 / 13.254

x ≈ 2.64

Since x represents the number of years after 2001, to find the actual year, we need to add 2001 to the value of x:

2001 + 2.64 ≈ 2003.64

Rounded to the nearest whole number, this gives us 2004.

So, the first year that sales fell below $50,000 was 2004. Therefore, the answer is option c. 2004.

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