Select the scenario that correctly represents the given graph.

A.
The price of a television decreases by 20% of its original price every year.
B.
The number of students registering for drama classes decreases by 20 students every hour.
C.
The weight of a radioactive material is halved every minute.
D.
The number of fish in a pond doubles every year.

Select the scenario that correctly represents the given graph A The price of a television decreases by 20 of its original price every year B The number of stude class=

Respuesta :

C. The wight of a radioactive material is halved every minute.

If you look in the graph, 100 is the starting point. At Minute 1, it went down to a fifty.

Which would be half of 100. This continues on until it can not go down any farther.

100-->50

50-->25

25-->12.5

12.5-->6.25

6.25-->3.125

The weight of a radioactive material is halved every minute. Then the correct option is C.

What is Algebra?

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

The scenario that correctly represents the graph will be

From the graph, at x = 10, the value of y is approximately zero.

Let's check all the options.

A. The price of a television decreases by 20% of its original price every year. Then the equation will be

y = 100(0.80)ˣ

At x = 10, the value of will be

y = 100(0.80)¹⁰

y = 10.73

This is incorrect.

B. The number of students registering for drama classes decreases by 20 students every hour. Then the equation will be

y = 100 – 2x

At x = 10, the value of y will be

y = 100 – 2(10)

y = 100 – 200

y = –100

This is incorrect.

C. The weight of a radioactive material is halved every minute. Then the equation will be

y = 100(0.5)ˣ

At x = 10, the value of y will be

y = 100(0.5)¹⁰

y = 0.097

This is correct.

D. The number of fish in a pond doubles every year. Then the equation will be

y = 100(2)ˣ

At x = 10, the value of y will be

y = 100(2)¹⁰

y = 102,400

This is incorrect.

Then the correct option is C.

More about the Algebra link is given below.

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