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Natalka [10]
3 years ago
6

Using the given table of an exponential function, determine the growth/decay factor as well as the rate of increase/decrease. Ty

pe your answers in as numbers. Example: Growth Factor: 3.5, Rate of Increase: 2.5. (Do not input your rate of increase as a percent.)

Mathematics
1 answer:
Westkost [7]3 years ago
7 0

Answer:

The growth rate is 0.6

The growth factor is 1.6

Step-by-step explanation:

Generally, the exponential equation can be written as;

y = a(1 + r)^x

Where a is the initial value of 100

r is the growth rate

So let us form equations;

160 = 100(1 + r)^1 •••••(i)

Also;

256 = 100(1 + r)^2 •••••••(ii)

Divide equation ii by i

256/160 = 1 + r

1.6 = 1 + r

r = 1.6-1

r = 0.6

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Pleaseeee help me. I'm stuck on a math question.
lozanna [386]

The slope of the function for pronghorn antelope is 60.78 which infers that the rate of speed of the pronghorn is 60.78 miles per hour.

7) The given function that represents the speed of the pronghorn is

y = 60.78x - 5.4

Comparing this function with the general equation of a straight line

y = mx + c we can conclude that the slope of the function is 60.78 .

So the Pronghorn's rate of speed is 60.78 miles per hour.

8) Now the speed of the cheetah is given in the form of a table.

Let us take any two points on the graph

(0.5,21.85) and (2,118.60)

Slope of the line passing through these two points

= (118.6-21.85)/(2-0.5)

=64.5

So the slope of the graph is 64.5 and the average rate of speed of the Cheetah is 64.5 miles per hour.

9) From the above two slopes and the rate of speed we can conclude that the speed of the cheetah is 64.5 mph which is greater than that of the pronghorn 's speed of 60.78 miles per hour.

To learn more about slope visit:

brainly.com/question/13281781

#SPJ1

6 0
1 year ago
Lilly made a 89 on her Math test. The test had 26 questions, how many questions did she miss?
anygoal [31]
She missed 3 questions, 


11/100 equals x/26 
^set up this proportion 
you get 286 equals 100x
and x equals 2.86

round this to 3 questions

to check your work, do 23/26 
6 0
3 years ago
1) Factor the polynomial using the GCE.<br> 2x2 + 6x
yarga [219]

Answer:

2x(x+3)

Step-by-step explanation:

2x^{2} +6x

2x(x+3)

4 0
3 years ago
Read 2 more answers
Time (hh:mm) Please enter the displayed to prove I am not a robot :0
masha68 [24]

Answer:

07:45 or 7:45

Step-by-step explanation:

On a clock, the shorter hand shows the hour of the day, while the longer hand shows the minute. The clock is divided into 12 hours and 60 minutes. In this case, the shorter hand is between 7 and 8, and the minute hand is right at 45, meaning that the time is 07:45. Hope this helps!

5 0
3 years ago
Write an equation to model growth or decay in the following scenario. A stock is declining at a rate of 25% of its value every 2
yawa3891 [41]

The exponential function that models this situation is:

y(t) = 225(0.75)^{\frac{t}{2}}

------------------------------------------

A decaying exponential function has the following format:

y(t) = y(0)(1 - r)^t

In which:

  • y(0) is the initial value.
  • r is the decay rate, as a decimal.

In this problem:

  • The stock started at $225, thus y(0) = 225.
  • Declines at a rate of 25% every 2 weeks, thus r = 0.25, t = \frac{t}{2}

The equation is:

y(t) = y(0)(1 - r)^t

y(t) = 225(1 - 0.25)^{\frac{t}{2}}

y(t) = 225(0.75)^{\frac{t}{2}}

A similar problem is given at brainly.com/question/24282972

3 0
2 years ago
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