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Misha Larkins [42]
4 years ago
10

If you know two points on a line, how can you find the rate of change of the variables being graphed?

Mathematics
1 answer:
Leto [7]4 years ago
3 0
Count the difference of the x values between the two points (the run of the slope) and the difference of the y values between the two points (the rise of the slope). That would get you the rate of change, or slope, of the line.


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X f(x)<br> 0 24<br> 1 12<br> 2 6<br> 3 3
LenaWriter [7]

The table represents an exponential function given by:

f(x) = 24*(1/2)^x

<h3>Is the function exponential or quadratic?</h3>

Here we have the table:

x    f(x)

0    24

1      12

2      6

3       3

First, notice that for each unit that x increases, the value of f(x) decreases by its half.

This is clearly an exponential equation, whose base must be equal to (1/2).

And because when x = 0, f(0) = 24, we know that the initial value of the function is 24.

Then the exponential function is:

f(x) = 24*(1/2)^x

Such that:

f(0) = 24*(1/2)^0 = 24\\\\f(1) = 24*(1/2)^1 = 12\\\\f(2) = 24*(1/2)^2 = 24*(1/4) = 6\\\\f(3) = 24*(1/2)^3 = 24*(1/8) = 3

Concluding, the table represents an exponential function.

If you want to learn more about exponential functions:

brainly.com/question/11464095

#SPJ1

4 0
2 years ago
an airplain travels at a constant speed if 300 mph how far in miles will the airplain travel in 20 min
geniusboy [140]
300 miles/ 60 minuets
5 miles per minute
5x20=100 miles

Hope that helps!!
5 0
3 years ago
What is the slope of the line passing through the points (2, 5) and (-1,-4)?
katovenus [111]

Answer:

3

Step-by-step explanation:

Slope = change in y /change in x

That’s slope = y2 - y1 /x2 - x1

Given

x1 = 2

y1 = 5

x2 = -1

y2 = -4

Therefore,

Slope = -4 -5 / -1 - 2

-9/-3

3

8 0
3 years ago
A cylindrical grain bin has a radius of 5 feet and a height of 29 feet. What is the surface area of the bin?
Law Incorporation [45]
Hello!

To solve this you use the equation to find the surface area of a cylinder

SA = 2 \pi rh + 2 \pi  r^{2}

SA is surface area
r is radius
h is height

Put in the values you know and 3.14 for pi

SA = 2 * 3.14 * 5 * 29 + 2 * 3.14 * 5^2

SA = 1067.6

The answer is A)1,067.6ft squared

Hope this helps!
5 0
3 years ago
Angelica makes $15.50 per hour, while Khalil makes $12 per
VMariaS [17]

a. Angelica makes 29.16% more than Khalil.

b. Khalil makes 22.58% less than Angelica.

Step-by-step explanation:

Given,

Per hour pay of Angelica = $15.50

Per hour pay of Khalil = $12

a. Angelica makes what percent more than Khalil?

Difference = Angelica's pay - Khalil's pay

Difference = 15.50 - 12 = $3.50

Percentage = \frac{Difference}{Khalil's\ pay}*100

Percentage = \frac{3.50}{12}*100

Percentage = \frac{350}{12}=29.16\%

Angelica makes 29.16% more than Khalil.

b. Khalil makes what percent less than Angelica?

Difference = Khalil's pay - Angelica's pay

Difference = 12 - 15.50 = -$3.50

Negative sign indicates the decrease.

Percent decrease = \frac{Difference}{Angelica's pay}*100

Percent decrease = \frac{3.50}{15.50}*100=\frac{350}{15.50}

Percent decrease = 22.58%

Khalil makes 22.58% less than Angelica.

Keywords: percentage, division

Learn more about division at:

  • brainly.com/question/11345547
  • brainly.com/question/11354188

#LearnwithBrainly

3 0
3 years ago
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