Asked by John
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.
The curve passes through the points (2,50), (5,6250) and (-1,p)
Calculate the value of p.
Answers
Answered by
R_scott
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
50 = a b^2
dividing equations (to eliminate a) ... 125 = b^3 ... b = 5
substituting ... 50 = a * 25 ... a = 2
p = 2 / 5
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