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nswer the word problems:
1. In 2021, there were 62 ALS graduates of Ligao National High School. The number of
graduates increases by 3% each year.
a Write an exponential growth function that represents the number of graduates after
f years.
b. How many graduates will there be after 5 years?
2. Suppose you bought a cellphone worth P9,800. The expected depreciation of the
cellphone is 5% per year. Estimate the depreciated value of the phone after 6 years.
​

Sagot :

Answer:

1.a. N(f)=62(1.03)^f

1.b. 71 graduates

2. 7203.98 pesos

Step-by-step explanation:

1.a. N(f)=No(1+r)^f

where N(f) is the number of graduates after f years, No is the initial value, r is the rate, and f is the number of years. Thus the general equation becomes: N(f)=62(1.03)^f

1.b. Using the formula in a,

N(f)=62(1.03)^f

N(5) = 62 (1.03)^5

N(5) = 71.88

Since we are talking about number of people, we will only take the whole number of the answer, and that is 71.

2. For depreciated value, we have the formula: V(t)=Vo(1-r)^t

where V(t) is the dep value after t years, Vo is the initial value, r is the dep rate, and t is the time

Thus, V(t)=9800(1-0.05)^6

V(t)=7203.98 pesos

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