MATH SOLVE

4 months ago

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

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