The average cost represents the slope of the line of the graph.
Increasing the slope of the graph increases the steepness of the line.
Therefore,
increasing the average cost of gas from $1.50 to $2.20 will increases
the steepness of the line. (i.e. the line becomes closer to the vertical
line).
Answer:
61 , 63 , 65 , 67
Step-by-step explanation:
Let the least even number be denoted by x. The sum of the four consecutive even numbers would be:
(x) + (x + 2) + (x + 4) (x + 6) = 256
First, simplify. Combine all like terms:
x + x + x + x + 2 + 4 + 6 = 256
4x + 12 = 256
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 12 from both sides of the equation:
4x + 12 (-12) = 256 (-12)
4x = 256 - 12
4x = 144
Next, divide 4 from both sides of the equation:
(4x)/4 = (144)/4
x = 144/4
x = 61
61 is your first number. Find the next 3 consecutive numbers:
x = 61
x + 2 = 63
x + 4 = 65
x + 6 = 67
Check:
61 + 63 + 65 + 67 = 256
256 = 256
~
I see the question last and the 4 choices first.
Look at the points you have in the table with the question.
(0, 0), (4, 2), (9, 3)
The only graph that contains those three points is the second option.
The original functions are: f(n) = 500 and g(n) = [9/10]^(n-1)
A geometric sequence combining them is: An = f(n)*g(n) = 500*[9/10]^(n-1):
Some terms are:
A1= 500
A2 = 500*[9/10]
A3 = 500*[9/10]^2
A4 = 500*[9/10]^3
....
A11 = 500*[9/10]^10 ≈ 174.339
Answer: the third option, An = 500[9/10]^(n-1); A11 = 174.339
Answer:
$0.30 + $0.03n > $0.02 + $0.02n
Step-by-step explanation:
company x = $0.30 + $0.03n
company y = $0.02 + $0.02n
$0.30 + $0.03n > $0.02 + $0.02n
