Question

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

Answer 1

y=20(6)^x

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