The graph represents the number y of visitors to a new art gallery after x months. Write an exponential function that represents this situation. Approximate the number of visitors, to the nearest person, after 5 months.

Y=____

About ___ visitors

The Graph Represents The Number Y Of Visitors To A New Art Gallery After X Months. Write An Exponential

Answers

Answer 1

Answer:

y = 40(1.5)ˣAbout 304 visitors

Step-by-step explanation:

Formula for exponential function:

y = abˣ

Use two points from the graph to determine the function:

(0, 40) and (1, 60)

Substitute the coordinates and work out the values of a and b:

40 = ab⁰ ⇒ 40 = a60 = ab¹ ⇒ 60 = ab ⇒ 60 = 40b ⇒ b = 60/40 ⇒ b = 1.5

The function is:

y = 40(1.5)ˣ

The number of visitors after 5 months:

y = 40(1.5)⁵ = 304 (rounded up)


Related Questions

8 is what percent of 40

Answers

Answer:

20%

Step-by-step explanation:

[tex]\frac{8}{40}*100=2*10=20\\[/tex]%

Answer:

8 is 20% of 40

There are 325 seventh graders in 12 classes. Determine the unit rate

Answers

Answer:27

Step27-by-step explanation:

find the distance between the points (-7, -10) and (-5,-1)

Answers

Answer:

d=√(x2-x1)² + (y2-y1)²

Step-by-step explanation:

ans is √85 unit

Ms. Rogers bought 4 bags of candies to make gift boxes for her family. Each bag contained 18 candies. She put an equal number of these candies into each of 7 gift boxes. How many candies were left over?

Answers

Answer:

2 candies were left.

Step-by-step explanation:

Number of bags of candies = 4 bags

Number of candies in each bag = 18 candies

Total number of candies = [tex]4(18)=72[/tex]

Ms. Rogers put an equal number of these candies into each of 7 gift boxes.

Divide 72 by 7

72 = 7(10) + 2

Here, remainder is 2.

So,

2 candies were left.

Which number is larger? (1 mark)

0.67 or
2/3

Answers

Answer:

0.67

Step-by-step explanation:

2/3= to 0.66 which means 0.67 would be technally larger than 0.66

Given the equation 3x+4y=20, is the point (4,2) a solution to the equation? Explain and
show you work.

Answers

Answer:

(4, 2) is a solution to the equation

Step-by-step explanation:

if y = 2 and x = 4 add fill them into the equation

3(4) + 4(2) = 20

12 + 8 = 20

20 = 20

this makes the equation true

So yes, (4, 2) is a solution to the equation.

10 points and brainliest. solve by elimination
-5x+10y=5
6x-20y=18

(3, -7)


(-3,-7)

(3,7)


(-7,-3)

Answers

Answer:

(3,-7) I think.

Step-by-step explanation:

Find the surface area of the prism.

Look at the figure.

Answers

760

Ste760p-by-step explanation:

Answer:

I believe it is 584 in.

Step-by-step explanation:

10 x 4 = 40, 40 x 2 = 80.

18 x 4= 72, 72 x 2 = 144.

18 x 10 = 180, 180 x 2= 360.

360 + 144 + 80 = 584

Raphel graphed the functions g(x)=+2 and f(x)=x-1 how many units below the y- intercept of g(x) is the y-intercept of f(x)​

Answers

Answer:

Y_intercept of g(x) =(0, 2)

U_intersept of f(x) =(0, - 1)

tammy has 5 cookies john took 3 how many cookies does tammy have now​

Answers

2 if Tammy starts out with 5 and then John took 3-5 is 2

Answer:

Tammy has 2 cookies.

Step-by-step explanation:

Subtract 5-3.

Guys please, please help!!
Answer properly!!

1. What is the domain? range?

2. Does the relation represent a liner equation? Why?

Answers

9514 1404 393

Answer:

  1. domain and range are all real numbers

  2. the relation is linear

Step-by-step explanation:

When the graph of a function is a straight line, the relation is linear. (That's what linear means.)

A linear relation is of degree 1, so has odd degree. Any odd-degree polynomial function has a domain and range of "all real numbers."

Answer:

1. Domain : all the real numbers

Range = all the real numbers

yes, this relation represents a linear function. (linear functions are always a straight line when graphed.)

Can y’all help me plz!!!

Answers

Answer: Option C- 10

You are looking for the measure of the hypotenuse. So, use the Pythagorean Theorem to solve!

a^2 + b^2 = c^2

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2 <—- now take the square root

10 = c

Which expression is equivalent to -3(4-2g)-6?

Answers

Answer:

6g-6 will be the answer

Step-by-step explanation:

[-3(-2g)+(-3)(4)]-6

6g(-12-6)

6g-6

The recipe to make baked pears for every 4 pears, you need 2 cups of yogurt and 6 tablespoons of granola. What is the ratio of cups of yogurt to tablespoons of granola? *

4:2
1:2
6:2
1:3

Answers

Answer:

1:3

Step-by-step explanation:

yogurt to granola

in the original story it is 2 to 6

that can be simplified to 1 to 3 or 1:3

3) A sliding board has a height of 5 and a slide length of 13. How long is
the base of the slide?*
A9
B10
C11
D12

Answers

Answer is D=12
Explainer

At a competition 24 of 40 members of a middle school band won a metal. What percentage of the members of the band won a medal

Answers

Answer:

Step-by-step explanation:

24/40=60%

The percentage of the members of the band won a medal is 60%.

Given that, at a competition 24 of 40 members of a middle school band won a metal.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

The fraction for 24 of 40 members is

24/40

So, the percentage

= 24/40 ×100

= 60%

Hence, the percentage of the members of the band won a medal is 60%.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ5

ok plz help on this one
i award brainliest :)

Answers

Answer:

Step-by-step explanation:

15 - x > 0

-x > -15

x < 15

if x < 15    15-x

if x = 15     0

if x > 15     x-15

need help with this one 105.6+37.1

Answers

Answer: 142.7

Step-by-step explanation:

Hiya everyone , Can you guys help me if you want answer one question each . I’m giving brainlist and points

Answers

Answer:

I think its 60x?

Step-by-step explanation:


Determine the unknown side of the similar triangle.
A)
2
B)
3
D)
5

Answers

I think it is C so it would be 4
the answer would be c. 4

MY BRAIN LITERALLY ISNT WORKING ANYMORE

Answers

Answer:

Try using a website calculator, or just try and ask a parent guardian for help

HELP PLZ!!! i have trouble with this!!!

Answers

Center is (1,0)
And radius is 1

Combine like terms to create an equivalent expression.


Answers

Answer:

1/6a - 1/6

Step-by-step explanation:

Answer:

1/6a-1/6

Step-by-step explanation:

only first two terms are alike

Please I really need answers.

Answers

I agree with the person that commented first

What is the imaginary number i equal to?

Answers

Oneeeeeeeeeeeeeeeeee

Answer:

René Descartes was a French mathematician and philosopher during the 17th century.8 Feb 2021

Born: March 31, 1596, La Hay en Touraine

Profession: Mathematician, Scientist, Philosopher

Works written: Discourse on Method, Compend...

Died: February 11, 1650, Stockholm, Sweden

Please help me with this!!!!

Answers

Answer: (2,7)

Midpoint formula = ( [tex]\frac{x1,x2}{2}[/tex],[tex]\frac{y1,y2}{2}[/tex] )

1 + 3 / 2 = 2

5 + 9 / 2 = 7

Let y=f(x) be the particular solution to the differential equation dy/dx=(2x−1)/y^2 with the initial condition y(0)=3. Which of the following is an expression for f(x) ?

Answers

Answer:

y=  (3x^2-3x+27)^1/3

Step-by-step explanation:

help help help





blah blah blah

Answers

Answer:

It is c blah blah blah

Step-by-step explanation:

pls give brainliest blah blah blah

Answer:

?

Step-by-step explanation:

find the height
10cm 8cm
h=

Answers

Answer:

h = [tex]\sqrt{84}[/tex] cm

Step-by-step explanation:

The radius, height h and slant height form a right triangle.

radius r = 8 ÷ 2 = 4, hypotenuse = 10

Using Pythagoras' identity in the right triangle

h² + 4² = 10²

h² + 16 = 100 ( subtract 16 from both sides )

h² = 84 ( take the square root of both sides )

h = [tex]\sqrt{84}[/tex] cm

If you vertically stretch the exponential function f(x) = 2* by a factor of 4, what
is the equation of the new function?
A. g(x) = 4.2%
B. g(x) = 24
C. g(x) = . 2*
D. g(x) = 2 .4*

Answers

Answer:

A. g(x) = 4.2%

Step-by-step explanation:

If you vertically stretch the exponential function f(x) = 2* by a factor of 4, what

is the equation of the new function?

A. g(x) = 4.2%

B. g(x) = 24

C. g(x) = . 2*

D. g(x) = 2 .4*

im not sure

The vertical stretch of the transformation of the function is g ( x ) = 4 ( 2 )ˣ

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 2ˣ

Now , the vertical stretch of a factor of 4 is given by

The transformed function is g ( x )

g ( x ) = 4 f ( x )

On simplifying , we get

g ( x ) = 4 ( 2 )ˣ

Hence , the transformed function is g ( x ) = 4 ( 2 )ˣ

To learn more about transformation of functions click :

https://brainly.com/question/26896273

#SPJ7

The complete question is attached below :

If you vertically stretch the exponential function f(x) = 2* by a factor of 4, what

is the equation of the new function?

A. g(x) = 4.2%

B. g(x) = 24

C. g(x) = . 2*

D. g(x) = 2 .4*

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