A high-speed digital camera records 480 frames every 3 seconds. The camera operator increa… — ACT

A high-speed digital camera records $480$ frames every $3$ seconds. The camera operator increases the recording rate by $25\%$ . At this new recording rate, how many total frames will the camera record in $14$ seconds?

A
$1,680$
B
$2,240$
$2,800$ Cevap
D
$3,920$
E
$8,400$

Cevap

The camera will record 2,800 frames in 14 seconds at the new recording rate.

To solve this problem, first determine the initial frame rate:

480

frames divided by

3

seconds equals

160

frames per second. Increasing this rate by

25\%

produces

160 \times 1.25 = 200

frames per second. Multiplying the new rate by

14

seconds results in

200 \times 14 = 2,800

frames.

Adım Adım Çözüm

Calculate the original unit rate in frames per second.

\frac{480 \text{ frames}}{3 \text{ seconds}} = 160 \text{ frames per second}

Dividing the number of frames by the elapsed time yields the frame rate per second.

Determine the new unit rate after a

25\%

increase.

160 \times (1 + 0.25) = 160 \times 1.25 = 200 \text{ frames per second}

Increasing a value by

25\%

is equivalent to multiplying the original value by

1.25

Calculate total frames recorded in

14

seconds at the new rate.

200 \text{ frames per second} \times 14 \text{ seconds} = 2,800 \text{ frames}

Multiplying the new rate by the given duration yields the total frame count.

Anahtar Kavram

Unit rates and percentage adjustment in rates

Soru

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Konular

Bu konudan daha fazla soru