Victor Hernandez has a credit card that bases its finance charge on the average-daily-balance method-new purchases included. His
1 answer:
We can find the average daily balance of Victor's credit card by using a proportion. Proportions may be used to find missing values in times when we have percentages. The proportion compares two fractions and both sides equal the same amount (that's how we'll know we got the correct answer). The proportion will be written as such: 
= 
. To fill in the blanks, we know our "is" is 37. That is the part of the whole that we are looking for, the "of". Our percent is 2.9, and that goes over 100. To solve. we cross multiply 100 x 37, which gives us 3700. Last, we divide by 2.9. After dividing our final answer is 1,275.86. This means that Victor's average daily balance is is $1,275.86.
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Linear function rule in terms of x and y for this line is y = x + 12
<em><u>Solution:</u></em>
Given that a line goes through the points (4, 16) and (7, 19)
To find: linear function rule in terms of x and y for this line
A linear function is a function of the form f(x) = ax + b, where a and b are real numbers. Here, a represents the slope of the line, and b represents the y-axis intercept
<em><u>The slope intercept form is given as:</u></em>
y = mx + c
Where "m" is the slope of line and "c" is the y - intercept
Let us first find slope of line
<em><u>The slope "m" of a line is given as:</u></em>
Thus the slope of line is 1
Substitute m = 1 and (x, y) = (4, 16) in y = mx + c
16 = 1(4) + c
c = 16 - 4 = 12
Substitute c = 12 and m = 1 in slope intercept form
y = 1x + 12
y = x + 12 is the required linear function rule
Since f(x) is a polynomial function and g(x) is an exponential function, we know that both the value and the rate of change of g(x) will exceed those of f(x) when x gets large.
The rate of change of g(x) is less than that of f(x) for x < 3.4. The value of g(x) is less than that of f(x) for x < 4.39. Of the statements offered, the only one that is true is ...
... As x increases, the rate of change of g exceeds the rate of change of f.
_____
In the attached graph, the functions are graphed as solid lines; their rates of change are graphed as dashed lines of the same color.
