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Marat540 [252]
3 years ago
10

Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 630 miles on 15 gallons

of gas. How far could you drive on 50 gallons of gas?
Mathematics
1 answer:
Ne4ueva [31]3 years ago
7 0

Answer:

2,100 miles

Step-by-step explanation:

<u>Step 1-</u> Find the miles the car can travel per gallon

630 miles/ 15 gallons=42 miles per gallon

<u>Step 2-</u> Multiply the miles per gallon by the number of gallons being used

42x50=2,100 miles

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I would think that all but one point would be on the line.  One way to approach this problem is to find the equation of the line based upon any two points chosen at random, and then determine whether or not the other points satisfy this equation.  Next time, would you please enclose the coordinates of each point inside parentheses:  (2.5,14), (2.25,12), and so on, to avoid confusion.
                                                               14-12
slope of line thru 1st 2 points is   m = ----------------  =  2/0.25 = 8
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What is the eqn of the line:     y = mx + b becomes

                                               14 = (8)(2.5) + b; find b:

14-20 = b = -6.  Then,   y = 8x - 6.

Now determine whether (12,1.25) lies on this line.  

Is 1.25 = 8(12) - 6?  Is 1.25 = 90?  No.  So, unless I've made arithmetic mistakes, (1.25, 5) does not lie on the line thru (2.5,14) and (2.25,12).

Why not work this problem out yourself using my approach as a guide? 



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