Question

The following graph is of an exponential function of the form y=a*bx.

What values of a and b would make this equation work?
a=
b=

Answer 1

a= 15

b=1/3

Explanation:

• key rule: see the graph carefully to get the following identified points.

• from the given graph, it can be seen that, the curve passes through (0,15)

• by substituting this point in y=a*(b)^x,

15=a*(b)^0

15=a

• it can also be seen that the curve passes through (1,5)

• by substituting this point in y=a*(b)^x,

5=a*b

5=15*b ( since, we have found that a=15 from the before steps)

• dividing both the sides by 15,

5/15=b=1/3

• hence,

a= 15

b=1/3.