Question

40 POINTS, ANY GUESSES WILL BE REPORTED!!

Answer 1

The correct answer is 4(1.75)x :)

Answer 2

Answer: $y=4(1.75)^x$

Step-by-step explanation:

Given graph models a function f which is an exponential function.

We know that the exponential function is given by  

$y=Ab^x$, b is the rate of change and x is the time period.

In the given graph we see two points as (0,4) and (1,7)

Now, put x=0 and y=4 (for first point) in the exponential  function such that

$4=Ab^0\\\Rightarrow4=A\ or\ A=4$

Put x=1, y=7 and A=4 (for second point) in the exponential  function such that

$7=4b^1\\\Rightarrow7=4b\\\Rightarrow\ b=\frac{7}{4}\\\Rightarrow\ b=1.75$

Now substitute A=4 and b=1.75 in the standard exponential function we get our equation that models the given function that predicts the value of a trading card, in hundreds of dollars (y)

$y=4(1.75)^x$, where x is the number of decades.