A collection of nickels and quarters has a total value of three dollars and contains 32 coins. Which of the following systems of equations could be used to find the number of each coin?

and

Step-by-step explanation:

Given that there is a collection of nickels and quarters.

Let N be the number of coins of nickels and

Q be the number of coins of quarters.

It is given that total number of coins are 32.

Number of coins of nickels + Number of coins of quarters = 32

is the first equation.

Now, we know that value of a one quarter coin is 25 cents or

and value of a one nickel coin = 5 cents = $0.05

Total value of all nickel coins = Number of nickel coins value of one nickel coin =

Similarly,

Total value of all quarter coins = Number of quarter coins value of one quarter coin =

Total value of coins is 3 dollars.

is the second equation.

So, the answer is:

and

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50