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 pages read in 1.5 hours

Total pages: 480, pages left: 402. So pages read: $480 - 402 = 78$.

Step2: Calculate reading rate per hour

Rate = pages read / time = $\frac{78}{1.5} = 52$ pages per hour.

Step3: Formulate the equation for pages left

Pages left $y$ = total pages - (rate × hours $x$). So $y = 480 - 52x$.

Answer:

$y = -52x + 480$ (or $y = 480 - 52x$)