Write an exponential equation in the form y=ab^x whose graph passes through points (-3,24) and (-2,12).

The values to satisfy this equation would be a = 3 and b = .5.

In order to solve this we must first look at the equation with the second ordered pair in it. We can then solve for a.

y = ab^x

12 = ab^-2

12 =

12b^2 = a

Now that we have this solved for a, we can place that value in for a using the first ordered pair's values.

y = ab^x

24 = ab^-3

24 = 12b^2b^-3

24 = 12b^-1

24 =

24b = 12

b = .5

Now that we have the value of b, we can use either ordered pair and the b value to find a.

y = ab^x

12 = a(.5)^-2

12 = a(4)

a = 3

24b

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: