2. Was your plan in part B an example of direct variation (the plan depended only on the time spent talking) or a partial variation? (the plan depended on the time spent talking and an initial cost). 3. Which Plan best for you? Was this the same as your hypothesis? 4. Which plan had the highest rate of change? Which plan has the lowest slope? 5. Using your graph, which plan would be best if you talked for 200 minutes? 6. When is the Rogers My5 plan better than the Telus prepaid plan? 7. Which plans are an example of direct variation? 8. Come up with at least 3 other things that need to be considered when choosing your cell phone plan (aside from cost per minute talking), and explain why these are important to you.

Answer:

(0,0) (1,6) (2,12)

Step-by-step explanation:

Proportional relationships are also known as direct variation, so I'll refer to it as DV.

The formula for finding DV is y=kx.

In this case, k=6, which is just y=6x. So, essentially..

(0,0) (1,6) (2,12) etc.

The points that lies on the graph of the line representing the relationship are (0, 0), (1, 60, and (2, 12).

If the ratio of one variable to the other is constant, then there is a proportional relationship between the two variables. If x and y are in a proportional relationship, then the ratio of y to x is the constant of proportionality. We can also express it as x is to y at times.

Given:

As, we know that the constant proportionality have

y= k x

where k is constant of proportionality.

We have given that constant of proportionality = 6

So, y= 6x

Now, when x=0

y=0

and, x=1

y= 6

and, x=2

y= 12

Hence, the points are (0, 0), (1, 60, and (2, 12).

Learn more about Constant of Proportionality here:

https://brainly.com/question/29126727

#SPJ2

Answer:

5^12

Step-by-step explanation:

When you have a power to the power, you multiply the powers. Since we have (5^3)^4, we can multiply the powers because we have a power to the power. Since 3 * 4 is equal to 12, we have 5^12. That means that 5^12 is the answer.

Answer:

1250

Step-by-step explanation:

5 times 5 times 5

Answer:

16π cm²

Step-by-step explanation:

circumference = 2πr

Area = πr²

We need to determine r to calculate the area

2πr = 8π

Divide both sides of the equation by 2π to find r

r = 4

Now, we determine area.

area =  πr² =   π4² = 16πcm²

Answer:

Step-by-step explanation:

The formula for the circumference of a circle can be used to solve this problem.

[tex]\underline{\text{CIRCLE OF A CIRCUMFERENCE FORMULA:}}[/tex]

[tex]:\Longrightarrow: \sf{C=2\pi r}[/tex]

[tex]\text{AREA:}= \sf{\pi r^2}[/tex]

[tex]\sf{2\pi r=8 \pi}[/tex]

You have to divide by 2 from both sides.

[tex]\sf{\dfrac{2\pi r }{2}=\dfrac{8\pi}{2} }[/tex]

Solve.

Divde the numbers from left to right.

8/2=4

r=4

[tex]\sf{\pi r^2=\pi4^2}[/tex]

Solve by exponents.

[tex]\sf{4^2=4*4=\boxed{\sf{16}}[/tex]

[tex]\Longrightarrow: \boxed{\sf{16\pi \text{cm}^2}}[/tex]

I hope this helps. Let me know if you have any questions.

Answer:

D

Step-by-step explanation:

Line A's slope: 9-1/2+2 = 8/4 = 2

y = 2x+b

y = 2x-5

If the slope of 2 lines are equal, then the lines are parallel.                    

Answer:

Yes.

Step-by-step explanation:

Every input has a specific output.

ima say yes but I may not be correct if somebody else answers chose them and let me be your last chose ;-;

Answer:

The first one

Step-by-step explanation:

Answer:

12 units

Step-by-step explanation:

[tex]\sin 30\degree = \frac{AC}{BC} \\ \\ \frac{1}{2} = \frac{AC}{24} \\ \\ 2AC = 24 \\ \\ AC = \frac{24}{2} \\ \\ AC = 12 \: units[/tex]

Answer:

13.9%

Step-by-step explanation:

First, we find the amount of decrease.

$3.60 - $3.10 = $0.50

The price decreased $0.50.

Now we find what percent $0.50 is of $3.60.

percent = part/whole * 100%

percent = $0.50/$3.60 * 100%

percent = 0.13888 * 100% = 13.9%

Answer: 13.9%

Answer:  

c

Step-by-step explanation:  

Answer:

1/4

Step-by-step explanation:

Answer:

C supplementary angles

Step-by-step explanation:

Reason: They Both Add Up To 180 Degrees

Answer:

460/100 X 5 = 23

23 bike to school xx

To check you're answer just fill in 18.7 for h in the original problem.

Answer:

4th one

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

The 'constant of proportionality k' DOES NOT remain constant for all the points in the table.

Therefore, the table DOES NOT represent a proportional relationship between X and Y.

Step-by-step explanation:

We know that when y varies directly with x, we get

y ∝ x

y = kx

k = y/x

where k is called the 'constant of proportionality'.

Given the table

x         0          5           10             15

y         2         17           32             47

Let us calculate the k value for all the points

FOR (0, 2)

k = y/x

substitute x = 0, and y = 2

k = 2 / 0 = ∞

FOR (5, 17)

k = y/x

substitute x = 5, and y = 17

k = 17/5

k = 3.4

FOR (10, 32)

k = y/x

substitute x = 10, and y = 32

k = 32/10

k = 16/5

k = 3.2

FOR (15, 47)

k = y/x

substitute x = 15, and y = 47

k = 47/15

k = 3.1

It is clear that the 'constant of proportionality k' DOES NOT remain constant for all the points in the table.

Therefore, the table DOES NOT represent a proportional relationship between X and Y.

Answer:

[tex]P > 300[/tex]

Step-by-step explanation:

Given

An art sold for over $300

Required

Represent as an inequality

Represent the price with p.

This implies that; P is over 300

In inequalities; the term "over" means greater than i.e. >

Hence:

P is over 300 is equivalent to [tex]P > 300[/tex]

Answer:

this question is not factorable with rational number so either trick question and the answer is no solution or it is typed wrong

Step-by-step explanation:

Answer:

-138

Step-by-step explanation:

Answer:

x = 145

Step-by-step explanation:

x and 35 are adjacent angles and are supplementary, sum to 180° , then

x + 35 = 180 ( subtract 35 from both sides )

x = 145

Answer:

Her percent error was: ≈ 17% (whole percent)

Step-by-step explanation:

Given

Approximate value = 20 friends

Exact Value = 24 friends

To determine

Percent error

Using the formula to calculate the Percent error

Percent error = | Approximate Value| - Exact Value | / | Exact value | × 100

                       = | 20 - 24 | / | 24 | × 100

                       = | - 4 | / | 24 | × 100

Apply absolute value: |-a| = a,   a>0

                       = 4/24 × 100

                       = 16.67 %

                       ≈ 17% (whole percent)

Thus, her percent error was: ≈ 17% (whole percent)

Answer:

3x+y=7

8x+12y=-9

Step-by-step explanation:

Answer: 35. The equation would be y = 17/2x

Answer:

32) yes, linear

33) no

34) yes

Step-by-step explanation:

32) if you look at the difference in the y-values and the difference of the x-values you will see that they all equal 3; for example, 24/8, 21/7, 18/6

33) following same method as for #32, there is not a consistent ratio of change between x-and-y values

34) yes, constant ratio is 10

Answer:

They will both occur on the 28th of june.

Step-by-step explanation:

This will happen bc you are trying to find same multiples of the two numbers

2 x 5 = 15

3 x 5 = 15

add 15 to 13 and you will get your date.

Answer:

x = 0, x = 1, x = - 3

Step-by-step explanation:

To find the zeros, let f(x) = 0 , that is

(x - 1)(x(x + 1) + 2x) = 0  ← distribute and simplify parenthesis

(x - 1)(x² + x + 2x) = 0

(x - 1)(x² + 3x) = 0 ← factor out x from the second parenthesis

x(x - 1)(x + 3) = 0

Equate each factor to zero and solve for x

x = 0

x - 1 = 0 ⇒ x = 1

x + 3 = 0 ⇒ x = - 3

Answer:

y = -3x - 6

Step-by-step explanation:

Answer:

JML=142 degrees

Step-by-step explanation:

This shape is a rhombus, as all 4 sides are equal, but the angle measures are not. One of the properties of a rhombus is that opposite angles are congruent, and adjacent angles are supplementary. Only the second one is important. Since angles KLM and angle JML are supplementary, the equation KLM+JML=180 can be used. KLM is then substituted by the given angle measure, 38 degrees, to get an equation such as JML+38=180. Now, to solve for JML, 38 must be subtracted from both sides of the equation, which leaves teh answer of JML=142.