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.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

x+14

step-by-step explanation: