Question

An apparel company uses a trucking service to deliver products from its warehouse to its retail outlets. For a one-way trip, the trucking company charges a flat rate of $250 per truck, plus $1.25 for every mile driven. The apparel company has a budget of less than $950 per trip. The apparel company’s owner wants to find out which retail outlets can be serviced with the given requirements.

Represent this situation in an inequality.

Answer 1

The inequality will be:
`x<560` , where
`x` is the distance of the retail outlets from the warehouse.

Explanation:

For a one-way trip, the trucking company charges a flat rate of $250 per truck, plus $1.25 for every mile driven.

Suppose, the number of miles driven is
`x`

So, the charge for
`x` miles will be:
`\$1.25x`

and the total charge for a one-way trip will be:
`\$250+\$1.25x`

Given that, the apparel company has a budget of less than $950 per trip.

So, the inequality will be.........

`250+1.25x<950\\ \\ 1.25x<950-250\\ \\ 1.25x<700\\ \\ x<(700)/(1.25)\\ \\ x< 560`

Thus, the retail outlets which are less than 560 miles away from warehouse can be serviced with the given requirements.