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)=

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

Step-by-step 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:

Constant rate at which she is reading her book = 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.

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