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.

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Sicista Sicista · Answer 1 · 2018-10-12T20:37:53+02:00

Answer:

The inequality will be: [tex]x<560[/tex] , where [tex]x[/tex] is the distance of the retail outlets from the warehouse.

Step-by-step 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 [tex]x[/tex]

So, the charge for [tex]x[/tex] miles will be: [tex]\$1.25x[/tex]

and the total charge for a one-way trip will be: [tex]\$250+\$1.25x[/tex]

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

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

[tex]250+1.25x<950\\ \\ 1.25x<950-250\\ \\ 1.25x<700\\ \\ x<\frac{700}{1.25}\\ \\ x< 560[/tex]

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