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

2004

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=(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.