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ANEK [815]
3 years ago
7

Two bike rental companies have different pricing systems. Company a charges a flat fee of $4 plus $2 per mile. Company b does no

t charge a flat fee but charges $2.80 per mile driven. At what distance do both companies charge the same amount?
Mathematics
1 answer:
EastWind [94]3 years ago
3 0

Answer:it will the take 5 mitutes

Step-by-step explanation:

Let x represent the distance at which both companies charge the same amount.

Let y represent the cost of x miles when using company A.

Let z represent the cost of x miles when using company B.

Company A charges a flat fee of $4 plus $2 per mile. It means that

y = 4 + 2x

Company b does not charge a flat fee but charges $2.80 per mile driven. This means that

z = 2.8x

To determine the distance before both plans will be be the same, we would equate both equations. It becomes.

4 + 2x = 2.8x

2.8x - 2x = 4

0.8x = 4

x = 4/0.8 = 5

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Fabio and Gwen are saving money to buy a new gaming station. They need at least $510 to purchase the new gaming station. Gwen we
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<u>Answer-</u>

Set of constraints to model the problem are,

12x+9y\geq 510

y \leq 2x

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<u>Solution-</u>

<em>x = the number of lawns weeded by Gwen,</em>

<em>y = the number of dogs walked by Fabio.</em>

1.

As, Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog,

\text{Earnings of Gwen} = 12x

\text{Earnings of Fabio} = 9y

\text{Total earning} = 12x+9y

They need at least $510 to purchase the new gaming station, means they need $510 or more than $510.

The equation for this is,

12x+9y\geq 510

2.

The number of dog walks that Fabio has scheduled is no more than twice the number of yards Gwen has scheduled to weed, means

y must be less than or equal to 2x.

The equation for this is,

y \leq 2x

3.

Fabio will walk at least 25 dogs, means y must be greater than of equal to 25.

The equation for this is,

y \geq 25



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