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3 years ago

What is the decay factor of the exponential function represented by the table?

Mathematics

2 answers:

torisob [31]3 years ago

9 0

Answer:

2/3 is not the answer. idk what the real answer is but its not B.

Step-by-step explanation:

Nina [5.8K]3 years ago

6 0

Answer:

Option 2 is correct.

Step-by-step explanation:

We have been provided a table of values of an exponential function and we are asked to find out the decay factor of the function.

Upon looking at our table we can see that every time x increases by one our y value remains one-third of the previous value.

To find out decay factor we will subtract 1/3 from 1.

$1-\frac{1}{3} =\frac{3-1}{3} =\frac{2}{3}$

Therefore, decay factor of the exponential function is $\frac{2}{3}$ and option 2 is correct choice.

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Evaluate 2 tan 45 - tan 60

Neko [114]

Answer:

2-\sqrt{3} \\

Step-by-step explanation:

2-\sqrt{3} \\

4 0

2 years ago

If each foot of water in a lake screens out 60% of the light above, what percent of the light passes through 5 feet of water?

BartSMP [9]

The amount of light passing through each foot the water in the lake = 100% - 60% = 40%
The percent of light passing through 5 feet of water = 0.4^5 = 0.01024 = 1.02%

8 0

3 years ago

A contractor is calculating the number of decorative stones for a new rectangular patio. The bids always include a count for the

babunello [35]

Answer:

The number of edge stones needed has a constant rate of change, but the number of stones for the center does not.

Step-by-step explanation:

The complete question is shown in the picture attached below.

Two functions E(x) and C(x) are given in the table along with some of the function values. We have to identify if any of these functions show constant rate of change or not.

By constant rate of change we mean that the slope is constant or in other words, a linear relationship is shown by the function. For a Linear function, the first differences of the function values are same.

By first differences we mean the difference between two consecutive output values. We can see that difference between consecutive input values is constant i.e. 1. If the difference between consecutive output values of any of the functions is same, then that function will be a Linear Function and, therefore, the rate of change for that function will be constant.

Lets analyze E(x) first. The output values are:

34, 52, 70 and 88

The difference between consecutive output values is:

18, 18 and 18

Since, this difference is constant, we can conclude that E(x) is a Linear function with a constant rate of change.

Now lets analyze C(x). The output values are:

62, 133, 260 and 435

The difference between consecutive output values is:

71, 127 and 175

Since, the differences are not constant, C(x) is not a Linear Function and , therefore, the rate of change of C(x) is not constant.

Conclusion:

The number of edge stones which is represented by E(x) has a constant rate of change, but the number of stones for center which is represented by C(x) does not have constant rate of change. This makes the first option our correct answer.