Question

Shryia read a 480480-page-long book cover to cover in a single session, at a constant rate. After reading for1.51.5 hours, she had 402402 pages left to read.Let P(t)P(t) denote the number of pages to read PP as a function of time tt (measured in hours).Write the function's formula.P(t)=

Answer 1

Function formula P(t) = -52t +480

Explanation:

here, P(t) denotes the number of pages to read and t represents the time in hour.

Given the statement: Shryia read a 480-page-long book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 402 pages left to read.

⇒Total number of page in a long book = 480

After reading for 1.5 hours, she had 402 pages left to read.

Then,

Total number of page Shryia read in 1.5 hours is:

`480-402 = 78`

Constant rate at which she is reading her book =
`(78)/(1.5) = 52` page per hour

Then, the function formula is given by:

P(t) = -52t + 480 ; where t is in hours.

Check:

P(t) = -52t + 480

P(1.5) = -52(1.5) + 480 = -78 + 480 = 402 True.