Question

PLEASE HELP ME !!! 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. Part A Represent this situation in an inequality.

Answer 1

Assume m is the distance each truck can travel in miles.

charge per mile = $1.25

charge for m miles = $1.25m

flat rate charged per truck = $250

maximum the company can spend = $950

This inequality represents the maximum distance the truck can cover with the given budget:

$250 + $1.25m < $950

Explanation:

I feel like this one is more understandable, You're welcome.

Answer 2

Let distance between warehouse and retail outlets be x miles.

We are told that 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.

Upon multiplying 1.25 by x we will get delivering charges for x miles as 1.25*x. Total delivery charges also include $250 per one-way trip, therefore, 250 will be our constant.

Our total delivery charges for x miles will be,

`1.25\cdot x+250`

The apparel company should service those outlets for whom delivery cost will be less than $950.

`1.25\cdot x+250<950`

Therefore, an inequality representing apparel company's profit will be
`1.25\cdot x+250<950`.