Quiz about Algebra 1 secure 2 03-25-2025

Question 1

Q.1 Matilda used the function $$h(n) = 20(1.1)^n$$ to represent the number of cells in a culture after $$n$$ hours. Which of the following statements is true about the function?

Accepted Answer

The y-intercept is (0, 20).

Answer

The domain ARE NOT real numbers greater than or equal to 0.

Answer

The graph has a horizontal asymptote at h(n) = 0.

Answer

The range is all positive real numbers.

Question 2

Q.2 Rebecca invested $1,000 into a retirement fund that earns 3% interest compounded annually. She uses the function $ $$\"y$$ to represent the balance of the fund after $ x $ years. Which of the following is true about the graph of the function? Select all that apply.

Accepted Answer

The y-intercept is (0, 1000).

Accepted Answer

The function represents exponential growth.

Answer

The balance is decreasing over time.

Answer

There is a vertical asymptote.

Question 3

Q.4 What are the correct features of the graph? Select all that apply.

Accepted Answer

y-intercept at (2, 0)

Accepted Answer

Horizontal asymptote at y = 0

Answer

y-intercept at (0, 2)

Answer

Horizontal asymptote at y = 2

Question 4

Q5. Ethan is tracking the depreciation of his new car. He uses the function $$y = 25000(0.85)^x$$ to represent the value of the car after x years. Which of the following is NOT True about the graph of the function?

Accepted Answer

The car's value is increasing over time.

Answer

The y-intercept is (0, 25000).

Answer

The graph has a horizontal asymptote at $ y = 0 $.

Answer

There is no x-intercept.

Question 5

Q6. Leonardo is studying the decay of a certain substance over time. He graphed the function $$y = 50(0.85)^x$$ to model how the quantity of the substance decreases each week. What is the equation of the horizontal asymptote?

Accepted Answer

y = 0

Answer

y = 1

Answer

y = 50

Answer

y = -50

Question 6

Q7. A chemical compound decays by 15% per year. If the initial amount is 800 grams, find the remaining amount after 5 years. Identify the y-intercept, the asymptote, and write the equation of the function.

Accepted Answer

Equation: $$a_n = 800(0.85)^n$$ , y-intercept: (0, 800), Asymptote: $$y = 0$$

Answer

Equation: $$a_n = 800(0.85)^n$$ , y-intercept: (0, 0), Asymptote: y = 800

Answer

Equation: $$a_n = 800(0.85)^n$$ , y-intercept: (0, 800), Asymptote: y = 800

Answer

Equation: $$a_n = 800(0.85)^n$$ , y-intercept: (0, 0), Asymptote: $$y = 0$$

Question 7

Q8. Grace deposited $750 into a savings account that earns 4% interest compounded annually. She uses the function $$y = 750(1.04)^x$$ to represent the balance of the account after $ x $ years. Which of the following is NOT true about the graph of the function?

Accepted Answer

The function represents exponential decay.

Answer

The balance is increasing over time.

Answer

The y -intercept is (0, 750) .

Answer

There is a horizontal asymptote at y = 0 .

Question 8

Q9. Dr. Lee monitors the number of patients visiting his clinic for annual check-ups. This year, the number of patients was 350. Each year, the number of patients increases by 5%. Which statement is true about the graph of the function $$y = 350(1.05)^x$$ ? Select two

Accepted Answer

The function represents exponential growth.

Accepted Answer

The y -intercept is (0, 350) .

Answer

The balance is decreasing over time.

Answer

There is no horizontal asymptote.

Question 9

Q11. A balloon is being inflated at a party. Initially, the balloon has a volume of 1 liter. The volume of the balloon increases at a steady rate of 15% per minute. The party planner wants to model the volume of the balloon over time to ensure it doesn't burst. Which of the following statements is true about the volume of the balloon after $ t $ minutes? Select all that apply.

Accepted Answer

The y -intercept is (0, 1)

Accepted Answer

There is a horizontal asymptote at y = 0

Answer

The volume is decreasing over time.

Answer

The function represents exponential decay.

Question 10

Q Spiraling 1. A baker made a batch of cookies and brownies. He made a total of 45 items. He made 17 more cookies than brownies. How many brownies did he make?

Accepted Answer

14

Answer

29

Answer

16

Answer

12

Question 11

Q Spiraling 2. Two friends, Alice and Bob, collected rocks. Alice collected some rocks, and Bob collected some rocks. Together, they collected 60 rocks. Alice collected twice as many rocks as Bob. How many rocks did Bob collect?

Accepted Answer

20

Answer

15

Answer

30

Answer

40

Question 12

Q Spiraling 4. A store sells large and small boxes. They sold 25 boxes in total. The number of small boxes sold was 5 more than twice the number of large boxes sold. How many large boxes were sold?

Equations:

l + s = 25,

s = 2l + 5

Accepted Answer

8

Answer

5

Answer

6

Answer

7

Question 13

Q Spiraling 5. A group of friends went to a museum. They bought a total of 15 souvenirs. Some souvenirs were keychains, and some were magnets. The number of keychains was 3 more than twice the number of magnets. How many magnets did they buy?

Accepted Answer

4 magnets

Answer

3 magnets

Answer

5 magnets

Answer

6 magnets

Question 14

Q Spiraling 6. A gardener planted two types of flowers, roses and tulips. He planted a total of 30 flowers. The number of roses was twice the number of tulips. How many tulips did he plant?

Accepted Answer

10 tulips

Answer

8 tulips

Answer

9 tulips

Answer

11 tulips

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