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labwork [276]
3 years ago
13

**50 Points Possible** I NEED URGENT HELP please provide a graph

Mathematics
1 answer:
Elina [12.6K]3 years ago
5 0

Answer:

See below.

Step-by-step explanation:

1)

For Ben's social media post, we are told that it was initially shared to only 2 people. However, each of those shares it with 3 people. In other words, Ben's post triples every day. This means that the rate of growth is 3. Thus, Ben's post as an exponential function is:

f(x)=2(3)^x

The 2 represents the initial amount at day 0, and the 3 represents the rate at which the post grows each day.

2)

Similarly, Carter's post was originally sent to 10 people. However, each of the 10 shares it with two others. Therefore, it doubles each day. Thus, the rate is 2. So, Carter's exponential function is:

f(x)=10(2)^x

The 10 represents the initial amount while the 2 represents the rate.

3)

I've use Desmos to graph the functions. Refer to the picture attached. Red is Amber, blue is Ben, and green is Carter.

4)

To find out the number of shares each student's post will receive on day 3 and day 10, simply plug the numbers into the functions. Therefore:

For Amber:

Day 3:

f(3)=3(4)^3=192

Day 10:

f(10)=3(4)^{10}=3,145,728

For Ben:

Day 3:

f(3)=2(3)^3=54

Day 10:

f(10)=2(3)^{10}=118,098

And for Carter:

Day 3:

f(3)=10(2)^3=80

Day 10:

f(10)=10(2)^{10}=10,240

5)

Amber's new graph of:

f(x)=3(4)^x+45

will be a shifted version of her original graph. The new graph will be shifted upwards by 45 units. However, since the 45 is not affected by the x in any way, the change will be minuscule. For instance, her number of shares on day 10 of the old graph is 3,145,728. Even with the additional 45, it will just be: 3,145,773. With enough days, the additional number becomes trivial.

6)

On the 10th day, Amber's post was shared almost 3 million times, while Ben's was shared "only" 118,098 times and Carter's with 10,240. Undoubtedly, Amber's post was the fastest.

7)

If you want to most shares as possible, choose Amber with fewer friends initially but more shares. This is because the exponential potential of a number even just a bit higher is insane. For instance, 3^10 (Ben's rate at 10th day) is only 59,049 while Amber's rate will be 4^10 which is 1,048,576. Amber's number is almost 18 times higher than Ben's. Even if Ben's initial number was say 1,000 or even 1,000,000, Amber would catch up rather quickly. Therefore, the rate is the quintessential part of an exponential growth function.

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8 0
3 years ago
PLEASE HELP WILL MARK BRAINLIEST!!!!
MaRussiya [10]

1.

(a) The variables are:

→ y is the total cost

→ x is the number of ride tickets

→ c is the price of the fair admission

(b) The linear equation that can be used to determine the cost for

anyone who only pays for ride tickets and fair admission is

y = 1.25 x + c

(c) Because the equation is linear which means the value of y depends on

the value of x and the value of c = 5 does not change so the equation

can be used to determine the cost for anyone who only pays for ride

tickets and fair admission

2.

(a) The slope of the line is \frac{3}{4}

(b) The equation of the line in point-slope form is:

y - 3 = \frac{3}{4} (x + 4)

(c) The equation of the line in slope-intercept form is:

y = \frac{3}{4} x + 6

3.

The inequality that model the problem is:

20x + 10y ≥ 2000

Step-by-step explanation:

1.

The given is:

1. The county fair charges $1.25 per ticket for the rides.

2. Jermaine bought 20 tickets for the rides and spent a total of $35.00

    at the fair

3. Jermaine spent his money only on ride tickets and fair admission

4. The price of the fair admission is the same for everyone

Use y to represent the total cost and x to represent the number of

ride tickets

∵ The price of a ticket = $1.25

∵ The number of tickets = x

∵ y represents the total cost

∵ The total cost = the cost of a ticket × the number of tickets + the price

   of the fair admission

∴ y = 1.25 x + c, where c is the fair admission

∵ Jermaine bought 20 tickets

∴ x = 20

∵ Jermaine spent a total of $35.00 at the fair

∴ y = 35

- Substitute these values in the equation in step b

∴ 35 = 1.25(20) + c

∴ 35 = 25 + c

- Subtract 25 from both sides

∴ c = 5

∵ c represents a constant term (y-intercept) in the linear equation

∴ The price of the fair admission for any one is $5

(a)

The variables are:

→ y is the total cost

→ x is the number of ride tickets

→ c is the price of the fair admission

(b)

The linear equation that can be used to determine the cost for

anyone who only pays for ride tickets and fair admission is

y = 1.25 x + 5

(c)

Because the equation is linear which means the value of y depends on

the value of x and the value of c = 5 does not change so the equation

can be used to determine the cost for anyone who only pays for ride

tickets and fair admission

2.

A line goes through the points (-4 , 3) and (4 , 9)

The rule of the slope of a line is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

∵ x_{1} = -4 and x_{2} = 4

∵ y_{1} = 3 and y_{2} = 9

∴ m=\frac{9-3}{4--4}=\frac{6}{8}=\frac{3}{4}

(a)

The slope of the line is \frac{3}{4}

(b)

The point-slope form of the equation is y-y_{1}=m(x-x_{1})

∵ y_{1} = 3 and x_{1} = -4

∵ m = \frac{3}{4}

∴ y - 3 = \frac{3}{4} (x - -4)

∴ y - 3 = \frac{3}{4} (x + 4)

The equation of the line in point-slope form is:

y - 3 = \frac{3}{4} (x + 4)

(c)

The slope-intercept form of the equation is y = mx + c, where c is the

y-intercept

∵ m = \frac{3}{4}

∴ y = \frac{3}{4} x + c

- To find c substitute x and y by the coordinates of one of the two

  given points

∵ x and y are the coordinates of point (4 , 9)

∴ 9 = \frac{3}{4} (4) + c

∴ 9 = 3 + c

- Subtract 3 from both sides

∴ c = 6

∴ y = \frac{3}{4} x + 6

The equation of the line in slope-intercept form is:

y = \frac{3}{4} x + 6

3.

Jacob and Sarah are saving money to go on a trip

The given is:

1. They need at least $2000 in order to go

2. Jacob mows lawns and Sarah walks dogs to raise money

3. Jacob charges $20 each time he mows a lawn and Sarah charges

   $10 each time she walks a dog

4. x representing the number of lawns mowed and y representing the

   number of dogs walked

∵ x representing the number of lawns mowed

∵ Jacob charges $20 each time he mows a lawn

∴ Jacob can earn $20x

∵ y representing the number of dogs walked

∵ Sarah charges $10 each time she walks a dog

∴ Sarah can earn 10y

∵ They need at least $2000 in order to go to the trip

∴ 20x + 10y ≥ 2000

The inequality that model the problem is:

20x + 10y ≥ 2000

Learn more:

You can learn more about inequality in brainly.com/question/6703816

brainly.com/question/10402163

#LearnwithBrainly

5 0
2 years ago
The new athletic facility on the downtown campus measures 0.74 km by 4 km. How many square
masha68 [24]

Answer:

The sports facility is 2,960,000 sq. m   in area.

Step-by-step explanation:

The dimension of the sport facility = 0.74 km by 4 km

The Length of the facility = 4 km

The width of the facility = 0.74 km

Now, 1 km = 1000 meters

⇒ 4 km = 4 x (1000) = 4000 meters

and 0.74 km = 0.74 x (1000) = 740 meters

Now, AREA OF THE RECTANGLE = LENGTH x WIDTH

So, the area of the facility = 4000 m  x 740 km

                                         =  2,960,000 sq. m

Hence, the sports facility is 2,960,000 sq. m  in area.

7 0
2 years ago
Compute the selling price of a sports drink that has a cost of $1.25 per item. The store needs to generate a profit of $0.50 per
luda_lava [24]

Answer:

The selling price would be \$1.75.

Step-by-step explanation:

We have been given that a sports drink has a cost of $1.25.

We need to figure out the selling price of the sports drink so that the store is able to generate a profit of $0.50 per drink.

We know that profit is found by subtracting the cost of an item from selling price of the item. Therefore, selling price of the item can be found by adding the profit to the cost.

Therefore, the required selling price of the sports drink would be:

\$1.25+\$0.50=\$1.75

7 0
2 years ago
PLEASE HELP ASAP! Identify the shape that can be formed using the following net.
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Answer:

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The only answer choice with 2 triangular faces and 3 rectangular faces is A, the triangular prism.

4 0
3 years ago
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