Answer:
On this case if we analyze both slopes, we see that function 2 has a greater rate of change because have a slope greater on absolute value than the slope for Function 1 (|-5|>|4|). No matter if the sign is positive or no we are analyzing the rate of change and for this case we need to use the absolute value to find the solution.
Step-by-step explanation:
Assuming the following two functions:
Function 1: y = 4x + 8
Function 2:
x y
2 20
4 10
6 0
We can find the slope for the second function like this:
And in order to find the intercept we can use any point for example (2,20) and we got:
And then 
So our function 2 is given by: 
On this case if we analyze both slopes, we see that function 2 has a greater rate of change because have a slope greater on absolute value than the slope for Function 1 (|-5|>|4|). No matter if the sign is positive or no we are analyzing the rate of change and for this case we need to use the absolute value to find the solution.
The location to the nonegative abscissa, positive ordinate is in the Q1 it means it is in the fisrt quadrant as seen in the next image: http://www.mathnstuff.com/math/spoken/here/1words/q/q2.htm
Hope this helps
y = 25 + 0.15x is the equation for relating the cost y to the number of miles x that you drive the car
<em><u>Solution:</u></em>
Let "y" be the total cost of car rental
Let "x" be the number of miles you drive the car for more than 100 miles
<em><u>A car rental firm has the following charges for a certain type of car:</u></em>
$25 per day with 100 free miles included, $0.15 per mile for more than 100 miles
<em><u>Suppose you want to rent a car for one day, and you know you'll use it for more than 100 miles</u></em>
Therefore,
Car is rented for one day
You will use it for more than 100 miles
Therefore, equation is framed as:
Total cost = $ 25 + 0.15(number of hours)
Thus the equation for relating the cost y to the number of miles x that you drive the car
Answer:
The range stays the same.
The domain stays the same.
Step-by-step explanation:
The function 
is an exponential function, where <em>a</em> is the coefficient, <em>b</em> is the base and <em>x</em> is the exponent.
The domain for this kind of functions is: All real numbers.
And the range is: (0,∞); this happen because the exponential functions are always positive when <em>a</em>>0.
Therefore, if the value of <em>a</em> is increased by 2, the domains will stay the same and the range will stay the same: (0,∞). The coefficient does not change the domain or the range if it keeps the same sign.
