Question

shryia read a book cover to cover in a single session, at a constant rate. after reading for 1.5 hours, she had 402 out of the total 480 pages left to read. let y represent the number of pages left to read after x hours. complete the equation for the relationship between the number of pages left and number of hours. y =

Explanation:

Step1: Find the number of pages read in 1.5 hours

The total pages are 480, and pages left after 1.5 hours are 402. So pages read in 1.5 hours is \( 480 - 402 = 78 \).

Step2: Calculate the reading rate per hour

The rate \( m \) (pages per hour) is \( \frac{78}{1.5}=52 \). Since the number of pages left \( y \) decreases as time \( x \) increases, the slope is -52. The initial number of pages left (when \( x = 0 \)) is 480. So the equation is \( y = - 52x + 480 \).

Answer:

\( y = -52x + 480 \)