Aparking meter has 32 coins in nickels and quarters. the coins are worth $3.20. how many quarters and how many nickels are in the meter?

n = 24

q = 8

Step-by-step explanation:

Let:

n = nickels

q = quarters

5n + 25q = 320

n + q = 32

n = 32 - q

Substitute (to solve for q):

5(32 - q) + 25q = 320

160 - 5q + 25q = 320

160 + 20q = 320

20q = 320 - 160

20q = 160

q = 160 ÷ 20

q = 8

Substitute (to solve for n):

n = 32 - q

n = 32 - (8)

n = 24

  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).

answer: b.36 feet

step-by-step explanation: