Question

Sales at a certain department store follow the model y=85-13.254x 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?

Answer 1

50 = 85 - 13.254x...... solve for x

x = 2.64071 round up to 3

hence 2001 + 3 = 2004

Answer 2

Answer:

2004

Step-by-step explanation:

Given : $y=85-13.254x$

Sales at a certain department store follow the model where y is the total sales in thousands of dollars and x is the number of years after 2001.

To Find: What was the first year that sales fell below $50,000?

Solution:

$y=85-13.254x$

We are supposed to find the first year that sales fell below $50,000

Since y = total sales in thousands of dollars

So, Substitute y = 50

$50=85-13.254x$

$13.254x=85-50$

$13.254x=35$

$x=\frac{35}{13.254}$

$x=2.6407$

x≈ 3

The first year that sales fell below 50,000= 2001+3

                                                                     = 2004

Hence the first year that sales fell below $50,000 was 2004.