The sketch shows a curve with equation y=ab^x where a and b are constants and b > 0

The curve passes through the points (2,50), (5,6250) and (-1,p)
Calculate the value of p.

1 answer

6250 = a b^5

50 = a b^2

dividing equations (to eliminate a) ... 125 = b^3 ... b = 5

substituting ... 50 = a * 25 ... a = 2

p = 2 / 5