Madison created two functions. For Function A, the value of y is two less than four times the value of x.
The table below represents Function B.
-3,-9
-1,5
1,-1
3,3
In comparing the rates of change, which statement about Function A and Function B is true?
A.
Function A and Function B have the same rate of change.
B.
Function A has a greater rate of change than Function B has.
C.
Function A and Function B both have negative rates of change.
D.
Function A has a negative rate of change and Function B has a positive rate of change.
Answers
Answer:
B. Function A has a greater rate of change than Function B has.
Step-by-step explanation:
Function A.
The value of y is two less than four times the value of x.
This statement can be expressed as
This linear function is expressed as slope-intercept form. Where the slope is
Function B.
This function is represented by the given table.
If you observe, the domain is defined as -3, -1, 1, 3. The range is defined as -9, -5, -1, 3.
The domain values increase two units. Range values increase by 4. So, the ratio or slope of this function is
If we compare the ratio of change (or slopes) of both function, we would find that Function A as a doble ratio of change than Function B. In other words, Function A has a greater rate of change than Function B.
Therefore, the right answer is B.
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If you are trying to figure out how many marbles Timmy gave away, let's see -
All you really do is divide 24 into 6 pieces, then take 1 piece and count how many is in that one piece. Let's do it -
24 ÷ 6 = 4
See? Super easy, right? 1/6 of 24 marbles is equal to four marbles.
↑ ↑ ↑ Hope this helps! :D
Which equation represents the situation?
62.50 + 8x = 40
40 + 8x = 62.50
40 + 5x = 62.50
62.50 + 5x = 40
Part B
How much does each small bag of popcorn cost?
$
Answers
The equation representing the given situation is 40 + 5x = 62.50 and the price of a small bag of popcorn will be $ 4.5. Option C is correct.
What is the equation?
An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, five buddies each pay $8 for a ticket to the matinee. Additionally, they each buy a little bag of popcorn. The pals spend $62.50 altogether.
Suppose x represent the price of a small bag of popcorn.
(cost of ticket + cost of popcorn) × number of friends = total cost
⇒ (8 + x) 5 = 62.5
Simplify the equation to obtain the value of x as
⇒ (8 + x) = 62.5/5
⇒ 8 + x = 12.5
⇒ x = 12.5 - 8
⇒ x = 4.5
Thus, the equation representing the given situation is 40 + 5x = 62.50 and the price of a small bag of popcorn will be $ 4.5. Option C is correct. Option C is correct.
Learn more about the equation here,
#SPJ6
Answer:
Formula: (cost of ticket + cost of popcorn) * # of friends = total cost
Which would give us (8 + x) * 5 = 62.5
Solve for x.
8 + x = 12.5 {divide each side by 5}
x = 12.5 - 8
x = 4.5
Each small bag of popcorn costs $4.50.
hope this helps!
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11, 13,17,19,23,29,31,37,
so the numbers are 1,3,7,9
because
2 is even and if it ends in 2 then divisible by 2
this crosses out all the even numbers :2,4,6,8
if it ends with 5 then it is divisible by 5 cross 5 out
so the numbers are 1,3,7,9
if the number ends with these number that doesn't mean that it is always prime exg 21 is not prime, 49 is not prime
so the numbers 1,3,7,9