Sam is making a histogram of the height in inches of all 250 students in his grade. the shortest person is 48 inches and the tallest is 60 inches. how wide should his x-axis intervals be? a) 2 b) 5 c) 8 d) 12

The answer is A) 2.

Step-by-step explanation:

The best way would be to use intervals of 2.

We know that the shortest persons 48 inches and the tallest 60 inches.

The difference between the tallest person and the shortest is:

60 - 48 = 12 inches

Since the difference is small, we might use intervals smaller than 12 because if we used intervals of 12, we wouldn't know for sure the heights of the other students, and we would have to estimate their heights.

Using intervals of 8 would be the same, we would have to estimate the heights of most students.

Using 5 , would also not be a good choice because 5 is not a multiple of 48, 60 or 12, therefore, that

Therefore, 2 would be the best option, as you don't have to estimate and the intervals would match the shortest and tallest height.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).