Courtney has a total of 88 stamps worth 15.56. some are 25 cents stamps and some are 2 cents stamps. how many of each does she have ?

Total number of stamps = 88 stamps.

Let us assume number of 25 cent stamps = x.

Number of 2 cents stamps = y.

Total cost of 25 cent x stamps = 0.25 x.

Total cost of 2 cents y stamps = 0.02y.

Total value of all stamps = $15.56.

Therefore,

Solving first equation for y, we get

y = 88 -x.

Substituting y=88-x in second equation, we get

0.25x + 0.02 (88 -x) = 15.56

0.25x + 1.76 - 0.02x = 15.56

0.23x +1.76 = 15.56

0.23x  = 15.56-1.76

0.23x = 13.80.

Dividing both sides by 0.23, we get

x = 60.

Plugging x=60 in first equation

60+y = 88

y = 88-60

y = 28.

  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).

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step-by-step explanation: