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A fitness club has 4,000 members. The number
y of members decreases by
5% each year. How many members will there be after 4 years? Round your answer to the nearest integer.
(A) 3,138 members
(B) 3,258 members
(C) 3,800 members
(D) 3,980 members

$32$ . A fitness club has $4$ , $000$ members. The number $y$ of members decreases by $5 \%$ each year. How many members will there be after $4$ years? Round your answer to the nearest integer. $\newline$ (A) $3$ , $138$ members $\newline$ (B) $3$ , $258$ members $\newline$ (C) $3$ , $800$ members $\newline$ (D) $3$ , $980$ members

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Volume of cubes and rectangular prisms: word problems

Full solution

Q.

32

. A fitness club has

4

,

000

members. The number

y

of members decreases by

5 \%

each year. How many members will there be after

4

years? Round your answer to the nearest integer.

\newline

(A)

3

,

138

members

\newline

(B)

3

,

258

members

\newline

(C)

3

,

800

members

\newline

(D)

3

,

980

members

Calculate decrease factor: Step $1$ : Calculate the decrease factor for each year. $\newline$ To find the new number of members each year, we multiply the current number by $95\%$ (since the membership decreases by $5\%$ each year). $\newline$ Decrease factor = $100\% - 5\% = 95\% = 0.95$
Apply decrease factor: Step $2$ : Apply the decrease factor for $4$ years. $\newline$ We need to multiply the initial number of members by the decrease factor raised to the power of $4$ to find the number of members after $4$ years. $\newline$ Number of members after $4$ years = $4,000 \times (0.95)^4$
Calculate exact number: Step $3$ : Calculate the exact number of members after $4$ years. $\newline$ $4,000 \times (0.95)^4 = 4,000 \times 0.8145 = 3,258$ (rounded to the nearest integer)

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