Shryia read a book cover to cover in a single session, at a constant rate. After reading for 1.5, point, 5 hours, she had 402 out of the total 480 pages left to read.

y = -52x + 480

Step-by-step explanation:

Let us assume the number of pages left be x

And, the number of hours is x

According to the question

Data given is as follows

Number of hours 1.5 and 5

Total pages 480

Left pages 402

Based on the above information,

The computation is shown below;

Pages read by Shriya in 1.5 hours is

= Total pages in the book - left pages to read

= 480 pages - 402 pages

= 78 pages

And, there is 1.5 hours

So in one hour she read

= 78 pages ÷ 1.5 hours

= 52 pages per hour

So, the equation is

y = -52x + 480

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

i think the answer would be c