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Verdich [7]
3 years ago
7

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.
Mathematics
2 answers:
Ulleksa [173]3 years ago
5 0

Answer:

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

Step-by-step explanation:

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

nexus9112 [7]3 years ago
4 0

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

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


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One nice thing about this situation is that you’ve been given everything in the same base. To review a little on the laws of exponents, when you have two exponents with the same base being:

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– Divided: Subtract their exponents

We can see that in both the numerator and denominator we have exponents *multiplied* together, and the product in the numerator is being *divided* by the product in the detonator, so that translates to *summing the exponents on the top and bottom and then finding their difference*. Let’s throw away the twos for a moment and just focus on the exponents. We have

[11/2 + (-7) + (-5)] - [3 + 1/2 + (-10)]

For convenience’s sake, I’m going to turn 11/2 into the mixed number 5 1/2. Summing the terms in the first brackets gives us

5 1/2 + (-7) + (-5) = - 1 1/2 + (-5) = -6 1/2

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