Question

Write an exponential function in the form y = abthat goes through points (0, 20) and (2,180).

Answer 1

Answer:

y=20(6)^x

Step-by-step explanation:

the graph passes through the point (0,20) : when x=0  and  y=20  :

20= ab^0    so a=20 because : b^0 = 1

the graph passes through the point (3,4320) : when x=3.  and  y=4320  : 4320= ab^3  but : a=20   so : 4320 = 20b^3

so : b^3 = 4320/20 = 216...... 216 =  6^3

b^3 = 6^3

b=6

the function is : y=20(6)^x