Part A:
The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:
and 
are points on the function
You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:
Now, let's find the slopes for each of the sections of the function:
<u>Section A</u>
<u>Section B</u>
Part B:
In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.
It is 25 times greater. This is because 
is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.
X/2+1/3=x/3+1/2
x/2=x/3+1/2-1/3
x/2 - x/3 = 3/6 - 2/6
x/2 - x/3 = 1/6
3x/6 - 2x/6 = 1/6
x/6 = 1/6
x = 1/6 * 6
x = 1
Answer: 8
Step-by-step explanation:
Since AB is a tangent, angle CAB is a right angle. Thus, by the Pythagorean theorem, 
2. The absolute value of -8 is 8. True
3. An isosceles triangle has three congruent sides.
Nope. It has two
4. The cosine is the ratio between the length of the opposite leg to the length of the hypotenuse.
I have no idea.
5. The boiling point of water is 212°C.
true
6.
The expression 28xyz has 4 terms.
true
7.
Shapes that have the same size and shape are said to be similar.
false
8.
The points where the sides of a polygon meet are called the vertexes.
true
9. A heptagon is a seven-sided polygon.
true (hexagon)
10.
An acute angle has more than 90° but less than 180°.
true
Answer: Required expression = 8h +3.50
Emilia's job pay $ 43.5 in a day when she works 5 hours.
Step-by-step explanation:
Given: Hourly earning = $8.00
gas allowance per day = $3.50
Pay per day = (Hourly earning ) x (Number of hours ) + (gas allowance per day)
Let h = number of hours
Pay per day = 8h +3.50
If Emily worked for 5 hours, then put h= 5, we get
Pay per day = 8(5) +3.50
= $ 40 +3.50
= $ 43.5
Required expression = 8h +3.50
Emilia's job pay $ 43.5 in a day when she works 5 hours.
