Please help! The graph shows the amounts customers pay for
x pounds of cheese at a deli counter. Customers
pay a certain price per pound up to exactly 5 pounds. If a customer buys more than 5 pounds, then the price per pound for the entire purchase is discounted.

Complete the following:

A piecewise-defined function for the graph is

f(x)=
___,0 ___

Customers who buy up to 5 pounds pay $___ per pound. Customers who buy more than 5 pounds pay $20 for the first 5 pounds. They pay $___ per pound for each pound over 5 pounds.

16

step-by-step explanation:

4.5%

step-by-step explanation:

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)