teuschlerjordan7 teuschlerjordan7
  • 11-04-2021
  • Mathematics
contestada

find the equation of the exponential function represented by the table below
x y
0 3

1 9

2 27

3 81

Respuesta :

altavistard
altavistard altavistard
  • 11-04-2021

Answer:

y = 3^(1 + x)

Step-by-step explanation:

Notice that each time x increases by 1, y increases by a factor of 3.

Thus, the required equation  has the form y = 3^x.

Check:  If x = 0, do we get 3?  No.  Therefore we must modify the exponent:

y = 3^(1 + x)

Check:  If x = 0, do we get 3?  3^(1 + 0) = 3 (correct)

If x = 2, do we get 27?  3(1 + 2) = 3^3 + 27 (correct)

Answer Link

Otras preguntas

Please help as soon as possible
What is the are of 4 and 6 millimeters
Hello, I need help understanding this problem.
A garage gives a discount of 2 1/2% for cash.Work out the discount in these bills: a £200​
The bacteria in a Petri dish culture are self-duplicating at a rapid pace. The relationship between the elapsed time ttt, in minutes, and the number of bacteria
_________is a marginal sea that is part of the pacific ocean
What promise did the supporters of the Constitution make that got the majority of the states to support ratification? A. the promise to abolish slavery B.
In what areas did the Great Society have a positive impact? ( not the plato answer, I obviously have access to that answer already)
if blood flow slows down, does your heart have to work more or less to maintain homeostasis? explain your choice
How many atoms of oxygen would there be in a 2.500 kg sample of iron(II) nitrate (Fe(NO3)2)? NA = \frac{6.022x10^{23}objects}{1mol} 1mol 6.022x10 23 objects ​