Q:

Write an exponential equation in the form y = abx whose graph passes through points (0, 2) and (1, 1.3)

Accepted Solution

A:
substitute it into eq 2 and solve for a:
25 = ab^2
25 = a(10/a)^2
25 = a(100/a^2)
25 = (100/a)
a = 100/25
a = 4
.
substitute it into eq 1 and solve for b:
10 = ab
10 = 4b
10/4 = b
2.5 = b write an exponential equation y=ab^x whose graph passes through these points
(1,10), (2,25)
Hope this helps! ~Nadia~
From:(1,10)
10 = ab^1
10 = ab (equation 1)
and from:(2,25)
25 = ab^2 (equation 2)
.
solve equation 1 for b:
10 = ab
10/a = b