Which function equation is represented by the graph? a. f(x)=12(4/3)^x b. f(x)=12(3/2)^x c. f(x)=12(2/3)^x d. f(x)=12(1/2)^x

The function equation that is represented by the graph is f(x) = 12 (2/3)ˣ

2 coordinates can be noticed form the graph which are as follows:

(1, 8)(0, 12)

Therefore, inserting the value of x in the function can give us information on the right function of the graph.

f(x) = 12 (2/3)ˣ

Try (0, 12)

f(x)  = 12 (2/3)⁰

f(x) = 12

Try (1, 8)

f(x) = 12 (2/3)¹

f(x) = 12 × 2 / 3

f(x) = 24 / 3

f(x) = 8

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C:  . f(x)=12(2/3)^x

Step-by-step explanation:

Notice the dot on the graph at (1,8).  This tells us that when x = 2, y = 8.  

Furthermore, the decreasing property of this graph tells us that the common ratio is a fraction between 0 and 1.

We must then eliminate answers A and B, since in each the common ratio is greater than 1.

Take a look at C:  f(x) = 12(2/3)^x.  If x = 1, f(x) = f(1) = 12(2/3)^1, or 12(2/3), or 8.

This result is true, so it is function C that is represented by the graph.

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.