Select the correct point on the graph, A local zoo has just opened a new stingray environment with 7 young, healthy stingrays. The population of stingrays in the enclosure is expected
to at least double every year and can be represented after years by this inequality.
Y Z 7(2)"
At the time the stingrays were added to the enclosure, the zookeepers determined that the enclosure could sustain at most 160 stingrays. The
number of stingrays the enclosure can sustain after x years, because of budget constraints, can be represented by this inequality.
y < 160 - 20
Which point on the graph represents a possible number of stingrays, y, in the enclosure?

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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

the answer is 5636.7