At the zoo, three adult lions together eat 250 pounds of food a day. if two more adult lions joined the group and ate food at the same rate as the original three, how much food would the zoo need to provide all five lions each day?

416.67 pounds of food should be given all five lions each day

Solution:

Given that, three adult lions together eat 250 pounds of food a day

Thus, 3 adult lions = 250 pounds of food per day

Two more adult lions joined the group and ate food at the same rate as the original three

Now number of adult lions = 3 adult lions + 2 adult lions = 5 adult lions

Let "x" be the food ate by 5 adult lions

Thus we can say,

3 adult lions = 250 pounds of food per day

5 adult lions = "x" pounds of food per day

This forms a proportion and we can solve the sum by cross multiplying

Thus 416.67 pounds of food should be given all five lions each day

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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