Question

Describe any asymptotes that make sense for the given scenario:

Maddyn earned a 78% on her first science quiz. She wants to increase her quiz average as much as possible, and is determining how many consecutive scores of 100% she will need to bring her average to a minimum of 92%.
a. Vertical Asymptote
b. Horizontal Asymptote
c. Slant Asymptote
d. No Asymptote

Answer 1

To increase her quiz average, Maddyn needs to achieve a minimum average of 92%. There is a horizontal asymptote at y = 92, which represents the minimum average Maddyn wants to achieve.

Step-by-step explanation:

The scenario described involves Maddyn wanting to increase her quiz average to a minimum of 92%. To determine how many consecutive scores of 100% she needs, we can use the following equation:

Average = (Total points + Sum of consecutive scores) / (Number of quizzes + Number of consecutive scores)

Since Maddyn wants an average of 92%, we have:

92 = (78 + 100x) / (1 + x)

To find the asymptotes, we look at the behavior of the function as x approaches positive or negative infinity. In this scenario, there is a horizontal asymptote at y = 92, which represents the minimum average Maddyn wants to achieve.