Ever since Renita move to her new home she’s been keeping track of the height of the tree outside her window the variable H models the height of the tree in centimeters T year since Rita moving H equals 210+ 33T how tall is the tree when Rita moved in

well, we know H = 210 + 33T, T is years since she moved in, well let's go right when she moved in, that must be not year 1 but year 0, so T=0, and thus H = 210 + 33(0), H = 210.

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)