Lori read a total of 48 pages in 3 hours.
Part 1: Assuming the relationship is directly proportional, which equation gives the number of pages, n, that Lori read in 8 hours?
Equations:
n pages/48 pages = 3 hours/8 hours
3 hours/48 pages = n pages/8 hours
48 pages/3 hours = 8 hours/n pages
48 pages/3 hours = n pages/8 hours
Part 2: How many pages did Lori read in 8 hours?
Options:
A 96
B 128
C 192
D 256
Part 1: The correct equation is 48 pages/3 hours = n pages/8 hours.
Part 2: To solve for n, we can set up a proportion:
48/3 = n/8
Simplifying the equation, we get:
16 = n/8
Multiplying both sides by 8, we find:
n = 16 * 8
n = 128 pages
Therefore, Lori read 128 pages in 8 hours.
The correct answer is B) 128.
Part 1: To find the equation that gives the number of pages Lori read in 8 hours, we know that the relationship between the number of pages and the number of hours is directly proportional.
In this case, we are given that Lori read a total of 48 pages in 3 hours. To set up the equation, we can use the concept of ratios. We can create a ratio comparing the number of pages to the number of hours:
n pages / 48 pages = 3 hours / 8 hours
In this equation, 'n pages' represents the number of pages Lori read in 8 hours.
Part 2: To find the number of pages Lori read in 8 hours, we can solve the equation we set up in Part 1.
n pages / 48 pages = 3 hours / 8 hours
To isolate 'n pages', we can cross-multiply:
8 hours * n pages = 48 pages * 3 hours
8n = 144
Now, we can solve for 'n' by dividing both sides of the equation by 8:
n = 144 / 8
Simplifying the expression, we find:
n = 18
The number of pages that Lori read in 8 hours is 18.
Therefore, the correct option is not provided in the given options.
Part 1: Assuming the relationship is directly proportional, the equation that gives the number of pages, n, that Lori read in 8 hours is:
48 pages / 3 hours = n pages / 8 hours
Part 2: To find the number of pages Lori read in 8 hours, we can solve the equation from Part 1.
48 pages / 3 hours = n pages / 8 hours
Cross-multiplying:
(48 pages)(8 hours) = (3 hours)(n pages)
384 pages = 3n
Dividing both sides by 3:
384 pages / 3 = n pages
128 pages = n
Therefore, the answer is B) 128 pages.