Answer:
3 gallons per mile, slope of 3
Step-by-step explanation:
To find out how many gallons the train uses per mile, look at the point (50,150). If you know that the train used 150 gallons to travel 50 miles, do 150/50 to get an answer of 3 gallons per mile.
For the second part, you know that as x increases by 1 (miles traveled) y (gallons) increases by 3, so therefore the slope is 3. You can also check this value by plugging in the points (150,450) and (50,150) into the
To obtain the graph of the function y = |x+2| we have to make a table of values of x to find the values of y. The absolute value or modulus of a real number is its numerical value without care its sign. For example, the absolute value of |4| and |-4| is 4.
In order to make a graph we are going to use the values (-3, -2, -1, 0, 1, 2, 3) for x.
x = -3
y = |-3 + 2| = |-1| = 1
x = -2
y = |-2 + 2| = |0| = 0
x = -1
y = |-1 + 2| = |1| = 1
x = 0
y = |0 + 2| = |2| = 2
x = 1
y = |1 + 2| = |3| = 3
x = 2
y = |2 + 2| = |4| = 4
x = 3
y = |3 + 2| = |5| = 5
<u> x ║ y</u>
-3 1
-2 0
-1 1
0 2
1 3
2 4
3 5
Obtaining the graph shown in the image attached.
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