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.
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