10. Extended Response A company paid $9,000 for the rights to a software program. The payment was shared by ten
friends. Eight friends each received equal amounts,
and two friends each received double that amount.
(Lessons 6-8 to 6-11)
a: What amount of money was each of the eight friends'
share of the payment?
b. What amount did each of the other two friends receive?

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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

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

understand that i don't know the answers

will someone answer his question

∠cbe and ∠deb are same-side interior angles.

i took the test