Carl and laura are reading different copies of the same book. carl has already read 10 pages of his copy of the book when laura begins reading her copy of the book. a system of equations can be used to compare the number of pages (y) each person has read x minutes after laura begins reading her copy of the book. the solution to the system of equations is (40, 50). what does the solution (40, 50) represent in this situation?
a.)carl and laura have both read 50 pages after laura has been reading for 40 minutes.
b.)carl has read 50 pages and laura has read 40 pages.
c.)carl has read 40 pages and laura has read 50 pages.
d.)carl and laura have both read 40 pages after laura has been reading for 50 minutes.

Step-by-step explanation:

(40, 50) means that Carl read 40 more pages of the book and Laura read 50 at the time when the two reach the same point in the book.

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

no

step-by-step explanation:

2-7=-5

7-2=5

when you combing like terms for ech expression, 5 and -5. these numbers are not equal to each other.