Help! will give points for brainliest

The ordered pairs model an exponential decay function.
{(−1,30), (0,21), (1,14.7), (2,10.29)}
What is the function equation?

Respuesta :

Answer:

y = 21·0.7^x

Step-by-step explanation:

The pair (0, 21) tells you the multiplier is 21. (The exponential factor is 1 for x=0.)

Any adjacent pair of y-values can tell you the common ratio, hence the base of the exponential term. For example, using the y-values associated with x=0 and x=1, we find the base to be ...

... 14.7/21 = 0.7

Then the equation is ...

... y = multiplier · base^x

... y = 21·0.7^x