Question

6) Kaylee needed to write the equation of an exponential function from points on the graph of the function. To

determine the value of b, Kaylee chose the ordered pairs (1,6) and (3,54) and divided 54 by 6. She determined
that the value of b was 9. What error did Kaylee make?

Answer 1

• See below

Explanation:

An exponential function is in the form of:

• y = abˣ

The ordered pairs taken:

• (1, 6) and (3, 54)

Substitute the coordinates into equation to get the system:

• 6 = ab¹
• 54 = ab³

If you divide the second equation by the first you get:

• 54/6 = b²
• 9 = b²
• b = √9
• b = ± 3

Kaylee didn't take a square root of b