Figure 222 is a scaled copy of Figure 111.

Mathematics

1 answer:

VARVARA [1.3K]2 years ago

8 0

The correct answer is going to be D.

You might be interested in

The weight of a radioactive isotope was 96 grams at the start of an experiment. After one hour, the weight of the isotope was ha

zimovet [89]

The starting weight of the radioactive isotope = 96 grams

Weight after one hour is half of the starting weight. So the weight of the radioactive isotope after 1 hour = 48 grams

After 2 hours the weight is half as compared to the weight after previous hour. So weight after 2 hours = 24 grams.

This means, after every hour the weight is being halved. The half life of radioactive isotope is one hour.

Since after every hour, the weight is being halved, the weight of the isotope can be modeled by an exponential equation.

So,

Initial Weight = W₁ = 96
Change factor = 1/2 = 0.5

The general equation of the sequence will be:

$\\ \\ W_{t}=96(0.5)^{t}$

Here t represents the number of hours. Using various values of t we can find the weight of the radioactive isotope at that time.

We can plot the sequence using the above equation. The graph is attached below.

3 0

3 years ago

Read 2 more answers

1.2) Q5.) The graph is a transformation of one of the basic functions. Find the equation that defines the function.

Yuri [45]

The graph starts at around x = 0. At x = 0, the graph's y-value is 2. There are no x-values that are less than 0.

The graph crosses the following points: (1,1); (4,0); (9, -1)

The distance between each y-value is exponentially increasing, as the slope of the graph is slowly decreasing as x approaches infinity.

Based on this information, we can say that this graph is a transformation of the base function, y = √x

To determine the transformations made, we need to compare the graph to the original base function (attached below).

The basic function starts at 0, and has a positive slope. It reaches the points (1,1); (4,2); and (9,3).

The graph in the question shows the function start at 2, and the negative slope reaching the points mentioned earlier in the answer.

Based on this information, we can conclude that y = -√x + 2.