Question

7. Kya picks up where she left off in her book and starts reading. After 2 hours, she's on page 195. After reading for 4 hours that day, she's on page 297. Write an equation to represent how many pages Kya reads per hour.

I did the equation= y=51x+93

There are a total of 399 pages in the book. How many more hours does Kya have left to read? PLEASE HELP WILL THIS PART I DONT UNDERSTAND ​

Answer 1

Explanation:

Work for finding the equation, feel free to skip it:

So first off, to write the equation, we will use an equation in slope intercept form: y = mx + b, where y is the numbers of pages she has read, m is the number of pages she reads per hour, x is the number of hours she read, and b is the number of pages she has already read.

To find the slope(The number of pages she reads per hour), we can subtract the number of pages she had read at 2 hours from the number of pages she had read at 4 hours:

297 - 195 = 102.

This tells us she read 102 pages over 2 hours. Thus, over 1 hour, she had read 102/2 = 51 hours. This is m. So our equation so far is y = 51x + b

To find b, we can take 195(the pages she had read after 2 hours), and subtract it by the pages she can read over 2 hours(51 * 2), giving us the amount of pages she had already read(b):

195 - (51*2) = 195 - 102 = 93.

So our equation is:
y = 51x + 93.

Work for finding how many hours it will take Kya to read the whole book:

Y is the total number of pages Kya has read when we plug in x hours. However, if we already know the total number of pages in a book, we can plug in that number for Y, and then solve for x to find how many hours it takes for Kya to read the book:

399 = 51x + 93

Subtracting 93 from both sides gets us:

51x = 306

=

x = 6

This means it takes 6 hours for Kya to read the whole book.

Since Kya has already been reading for 4 hours, the time she has left is:

6-4 = 2

So it takes Kya 2 more hours to finish reading the 399 pages in the book.

Hope this helps!