What is the multiplicative rate of change of the exponential function shown on the graph?
2/9
1
4
9/3

9/2

Step-by-step explanation:

We have to find the multiplicative rate of change of the exponential function shown on the graph.

We know that a general exponential function is given as:

where b is the multiplicative rate of change.

Now when x=0 we have y=1.

i.e. 1=a

Hence, a=1

and y=b^x

Also,

the graph passes through (1,9/2)

Now when x=1 we have y=9/2

i.e.

9/2=b

Hence, the multiplicative rate of change is:

9/2

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls