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IgorC [24]
3 years ago
9

A gas station sells 1400 gallons of gasoline per hour if it charges $2.50 per gallon but only 1000 gallons per hour it charges $

2.85 per gallon. Assuming a linear model how many gallons would be sold per hour if the price is $2.60 per gallon?
Mathematics
1 answer:
Evgen [1.6K]3 years ago
3 0

Answer:

xsdcgsd

Step-by-step explanation:

zdrfgzerdg

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Answer:

  • The system of equations is x + y = 85 and 7/20x+2/5y=31
  • To eliminate the x-variable from the equations, you can multiply the equation with the fractions by 20 and multiply the other equation by -7.
  • B-She used 60 minutes for calling and 25 minutes for data.

Step-by-step explanation:

It is always a good idea to start by defining variables in such a problem. Here, we can let x represent the number of calling minutes, and y represent the number of data minutes. The the total number of minutes used is ...

  x + y = 85

The total of charges is the sum of the products of charge per minute and minutes used:

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We can eliminate the x-variable in these equations by multiplying the first by -7 and the second by 20, then adding the result.

  -7(x +y) +20(7/20x +2/5y) = -7(85) +20(31)

  -7x -7y +7x +8y = -595 +620 . . . . eliminate parentheses

  y = 25 . . . . . . . . simplify

Then the value of x is

  x = 85 -y = 85 -25

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