Assessment module 21 gen math

1. Which of the following depicts the increase in number or size at a constantly growing rate? a. exponential decay
b. exponential growth
c. half-life
d. time elapsed
2. Which of the following statements is best modeled by exponential growth?
a. the cost of pencils as a function of the number of pencilsb. the distance when a stone is dropped as a function of time
c. the distance of a swinging pendulum bob from the center as a function of time
d. the compound interest of an amount as a function of time
3. Lino invested ₱5,000.00 into an account that has a 5.5% annual increasing rate. What equation best describes this investment after t years?
a. A = 5000 (0.055)t
b. A = 5000 (1.055)t
c. A = 5000 (1.55)t
d. A = 5000 (5.5) t
4. If the population in 1995 of Barangay Manggahan is 1,500, and is increasing at a rate of 2.3% every 5 years, what is the projected population of the town in 2025?
a. 2,967
b. 1,681
c. 1,722
d. 1,759 For numbers 5-6, refer to the following: Ms. Juana Care plans to invest her ₱1,000,000.00 in a company that offers 8% interest compounded annually.
5. Define an exponential model for this situation. a. A = 1000000(1.08)t
b. A = 1,000,000(1.08)(t)
c. A = 1000000(1.08)t+1
d. A = 1000000(1.08)(t)+1
6. How much is the investment after 5 years?

a. ₱5,400,000.00

b. ₱5,400,001.00

c. ₱1,586,874.32

d. ₱1,469,328.08

7. The half-life of Zn-71 is 4.25 minutes. At t = 0, there were y0 grams of Zn-71,

but only 1/64 of this amount remains after some time. How much time has

passed?

a. t = 20.5

b. t = 19.5

c. t = 21.

d. t = 25.5

8. Which of the following situations does not describe an exponential decay?

a. the number of rabbits doubles every month

b. the amount of substance decreases every 10 minutes

c. the atmospheric pressure decreases as you go higher

d. the value of a car depreciates every year

9. A photocopier is purchased for ₱15,200.00 and depreciates in value by 15%

per year. Which equation best describes the value of the photocopier in x

years?

a. y= 15200 (0.15)x

b. y= 15200 (0.85)x

c. y= 15200 (1.15)x

d. y= 15200 (1.85)x

10. Suppose ₱4000.00 is invested at 6% interest compounded annually.

How much money will there be in the bank at the end of 5 years?

a. ₱5,352.90

b. ₱5,325.90

c. ₱5,253.90

d. ₱5,235.90

11. In 2012 the population of schoolchildren in a city was 90,000. This

population increases at a rate of 5% each year. What will be the population

of school children in year 2022?

a. 148,385 school children.

b. 150, 625 school children

c. 165, 373 school children

d. 190, 428 school children

For items 12-13, refer to the following:

The population of Lucena City is estimated to increase by 1.49% per year.

According to 2015 census, the population of the city is 266, 248.
12. Which of the following best modelled the situation?

a. A = 266248e(0.0149)(t)

b. A = 266248(1.0149)t

c. A = 266248(

1.0149

n )t

d. A = 266248e(1.0149)(t)

13. What will be the population ten years from now?

a. 309,027

b. 332,929

c. 350,456

d. 402, 123

14. Joana earned ₱1500 last summer. If she deposited the money in a bank

account that earns 5% interest compounded yearly, how much money will

she have after five years?

a. ₱2,015.35

b. ₱1,914.42

c. ₱1,846.48

d. ₱3,560.15

15. If the population of a town doubles in 30 years, when will it be

quadruple?

a. in 45 years

b. in 60 years

c. in 90 years

d. in 100 years​