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3 years ago

Does the equation y = 5(2.3)* model exponential growth, exponential decay or neither?

Mathematics

2 answers:

Eddi Din [679]3 years ago

7 0

Answer:

It models exponential growth

Step-by-step explanation:

Use the formula f(x)=a(1+r)^x where r is the growth rate, a is the principal value, and x is the length of time.

Since r would be equal to 2.3-1=1.3, this means a growth rate of 130%, which means the model models exponential growth since r>1.

maria [59]3 years ago

3 0

Exponential growth because maths is good

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3 years ago

9,277,414 the 7 in the thousand place is______ the value of the 7 in the ten thousand place

mario62 [17]

the 7,000 is 9,000 less than the 7 in the ten thousand place

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3 years ago

I need the y values i guessed them but they are wrong y=3x

lara [203]

Y = 3x
x(3) = y

1) (-2) 3 = -6

2) (-1) 3 = -3

3) (0) 3 = 0

4) (1) 3 = 3

-6, -3, 0, and 3 respectively.

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3 years ago

My question is on the image it would mean the world to me if you could help

stiks02 [169]

Answer:

a. Slope of f(x) is greater than g(x)

b. y-intercept of f(x) is less than the y-intercept of g

Step-by-step explanation:

Function f(x)

Given the function f(x)

x f(x)

-3 -0.5

-2 0

-1 0.5

0 1

Finding the slope between any two points

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-3,\:-0.5\right),\:\left(x_2,\:y_2\right)=\left(-2,\:0\right)$

$m=\frac{0-\left(-0.5\right)}{-2-\left(-3\right)}$

$m=0.5$

Thus,

The slope of f(x) = 0.5

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the given point (0, 1), we can easily observe that at x = 0, the value of y = 1.

Thus, the y-intercept of f(x) = 1

Function g(x)

Taking two points from the given graph of g(x)

(1, 0)

(0, 2)

Finding the slope between (1, 0) and (0, 2)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(1,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:2\right)$

$m=\frac{2-0}{0-1}$

Refine

$m=-2$

Thus,

The slope of g(x) = -2

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the given point (0, 2), we can easily observe that at x = 0, the value of y = 2.

Thus, the y-intercept of g(x) = 2

Conclusion:

FOR function f(x)

The slope of f(x) = 0.5

The y-intercept of f(x) = 1

FOR function gx)

The slope of g(x) = -2

The y-intercept of g(x) = 2

Thus:

a. Slope of f(x) is greater than g(x)

b. y-intercept of f(x) is less than the y-intercept of g

5 0

3 years ago

The cellular phone service for a business executive is $35 per month plus $0.40 per minute of phone use over 900 min. For amonth

Helen [10]

Answer:

1022 minutes

Step-by-step explanation:

Let x be the number of minutes the executive used the phone

There is a base charge of $35 and only minutes greater than 900 min are charged at the rate of $0.40 per minute

So total bill A = 35 + 0.4(x-900)

We know the bill was $83.80

So we can rewrite the equation as

35 + 0.4(x-900) = 83.30

and solve for x

To make it easier for computational purposes

1) Multiply both sides by 10

$35\cdot \:10+0.4\left(x-900\right)\cdot \:10=83.8\cdot \:10$

2) Perform individual multiplication

$350+4\left(x-900\right)=838$

3) Subtract 350 from both sides

$350+4\left(x-900\right)-350=838-350$

4) Simplify

$4\left(x-900\right)=488$

5) Divide both sides by 4

$\frac{4\left(x-900\right)}{4}=\frac{488}{4}$

6) Simplify

$x-900=122$

7) Add 900 to both sides to isolate x

$x-900+900=122+900$

8) Simplify to obtain x

$x=1022$

Answer: The executive used the phone for 1022 minutes that month

6 0

2 years ago