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. let p(t) denote the number of pages to read p as a function of time t (measured in hours). write the function's formula.

The correct answer is P(t)=-52t+480.  Hope this helped.

The function formula is,

P(t) = 480 - 48 t

Step-by-step explanation:

Since, initial number of pages = 480,

After 1.5 hours, the number of pages = 402,

Hence, the pages read by him in 1.5 hours = 480-402=72,

⇒ His constant speed of reading = = 48,

⇒ The pages he read in t hours = 48 t

Since, The pages left to read in t hours = Initial pages - The pages he read in t hours,

⇒ P(t) = 480 - 48 t

Which is the required function.

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

answer: 0.1,0.85

step-by-step explanation: