Joe is a college football kicker. At a point about halfway through the season, he had made only 5 out of 26 field goal kicks for his team. This gives him a really lousy success rate. His coach wants his success rate to rise to 48% by Joe kicking a series of consecutive field goals successfully. How many consecutive field goals would Joe have to kick, and make, for his success rate to rise to the level his coach wants?

  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).

where's the diagram?

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

how much is coupon

step-by-step explanation: