Question

On a coordinate plane, an exponential function approaches y = 0 in quadrant 1 and increases into quadrant 2. It goes through points (3, StartFraction 108 Over 5 EndFraction), (2, 36), (1, 60), (0, 100). Which function represents the given graph? f(x) = 100 · (Three-fifths)x f(x) = (100 · Three-fifths)x f(x) = 100 + Three-fifthsx f(x) = 100 · (Two-fifths)x

Answer 1

Answer:

the correct answer is A

Step-by-step explanation:

Answer 2

Answer:

$f(x)=100(\frac{3}{5} )^x$

Step-by-step explanation:

Since the exponential function approaches y=0, its equation is of the form,

$f(x)=a(b^x)$

The point (0,100) is this graph so it must satisfy its equation

$100=a*b^0$

$100=a(1)$

a=100

The equation now becomes:

$f(x)=100*b^x$

We now substitute the point (1,60)

$60=100*b^1$

$b=\frac{60}{100} =\frac{3}{5}$

Therefore the required equation is $f(x)=100(\frac{3}{5} )^x$