Compare using <, >, or =. 7 2/5___ 7 3/8

<

Explanation:

Step 1 - Convert the mixed numbers into decimals

7 2/5

2/5 • 20/20 = 40/ 100

40/ 100 = 0.4

0.4 + 7.0 = 7.4

Therefore, 7 2/5 = 7.4

Step 2 - Convert the mixed numbers into decimals

7 3/8

3/ 8 = 0.375

0.375 + 7.0 = 7.375

Therefore, 7 3/8 = 7.375

Step 3 - Compare

7.4 < 7.375

So, 7 2/5 is less than 7 3/8

  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).