Question

Given the equation p = -2h + 49, where 'p' represents the number of pages left to write for Susan's research paper and 'h' represents the number of hours she has spent writing, how many hours of writing will Susan have to do in order to have only 1 page left to write?"

Answer 1

Susan will need to write for 24 hours to have only 1 page left to write in her research paper, based on the equation p = -2h + 49.

Step-by-step explanation:

The given equation is p = -2h + 49, which represents the number of pages left to write (p) in Susan's research paper as a function of the number of hours she has spent writing (h). To find the number of hours Susan must write to have only 1 page left, we are looking for the value of 'h' when 'p' equals 1.

1. First, we substitute 'p' with 1 in the equation, which gives us 1 = -2h + 49.
2. Next, we solve for 'h' by subtracting 49 from both sides of the equation, resulting in -48 = -2h.
3. Then, we divide both sides by -2 to isolate 'h', which results in h = 24.

Therefore, Susan will have to write for 24 hours to have just 1 page left to write in her research paper.