The current cost of a hamburger is $4.00, but it is increasing by 9% each year. write the exponential function that model this situation. how much will the hamburger cost in two years? how much will it cost in four years and six months from now?

Part a)

Part b)

Part c)

Step-by-step explanation:

Part a) Write the exponential function that model this situation

we know that

In a exponential function of the form

a is the initial value or the y-intercept

b is the base of the exponential function

If b > 1 we have a exponential growth function

If b < 1 we have a exponential decay function

r is the percentage rate of change

b=(1+r)

In this problem we have

x ----> the number of years

y ----> the cost of a hamburger

substitute the values

----> exponential growth function

Part b) How much will the hamburger cost in two years?

For x=2 years

substitute

Part c) How much will it cost in four years and six months from now?

Remember that

so

four years and six months is equal to 4.5 years

For x=4.5 years

substitute

you need to show the graph

step-by-step explanation:

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".