The band must decide when to meet for a practice. The possible days are Tuesday or Wednesday. The possible times are 3, 4, or 5 p. m. Write the sample space to represent all of the options. How many options are there?

There are 6 options, sample space is below.

Step-by-step explanation:

The band has 2 days to pick from. For each day, they have three different options for times. 2 days x 3 times = 6 options.  Therefore, the sample space is: (usually this would be a picture, with arrows. search it )

for Tuesday: 3, 4, or 5

for Wednesday: 3, 4, or 5

associative property of multiplication

  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).