A power function with form y = ax passes through the points (2, 5
and 3,
81
Find the constants a
and pa=
p=

a = 47.3;

              p = 0.65

Step-by-step explanation: A power function is of the form and passes through points (2,5) and (3,81), i.e.:

To determine the two unknows, solve the system of equations:

Using multiplication and power rules:

Giving values to constants:

0.7=loga+0.3p

2=loga+0.5p

This system of equations can be solved by subtracting each other:

p = 0.65

Substituting p into one of the equations above:

a = 47.3

The constants a and p of the power function which passes through points (2,5) and (3,81) are 47.3 and 0.65, respectively.

b is the answer that makes most sense

step-by-step explanation: