Question

The original amount is 44 photos then he took 25 more photos in 6 days.What is the rate

of change

Answer 1

The rate at which amount of photo increase after 6 days is 7.75

Explanation:

Given as :

The original amount of photo = 44

The final amount of photo = 44 + 25 = 69

Time period = 6 days

Let The rate = r

So, final value after n days = original value ×
`( 1+ (Rate)/(100))^(n)`

Or, 69 = 44 ×
`( 1+ (r)/(100))^(6)`

Or,
`(69)/(44)` =
`( 1+ (r)/(100))^(6)`

Or, 1.568 =
`( 1+ (r)/(100))^(6)`

Or,
`( 1.568)^{(1)/(6)}` =
`( 1+ (r)/(100))`

Or, ( 1.0775 - 1 ) × 100 = r

Or, 0.0775 × 100 = r

∴ r = 7.75

Hence The rate at which amount of photo increase after 6 days is 7.75 Answer