A grocery store owner budgets $5,000 to buy and maintain a booth for 300 days to give out samples of food. If she bought the booth for $1,400, how much money, in dollars, can she spend on food each day for samples and stay within budget? Write an inequality that represents this situation and indicate what the solution to the inequality will look like.

x ≤ $12 a day

Step-by-step explanation:

5000-1400=3600

3600/300=12

  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).