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A small town has two local high schools. High School A currently has 600 students
and is projected to grow by 65 students each year. High School B currently has 950
students and is projected to grow by 30 students each year. Let A represent the
number of students in High School A in t years, and let B represent the number of
students in High School B after t years. Write an equation for each situation, in terms
of t, and determine after how many years, t, the number of students in both high
schools would be the same.

Respuesta :

haleyraby

Answer:

The senior class will have 100 members in the 13th year.

Step-by-step explanation:

Use the compound interest equation with a negative interest rate:

A = P(1  + r/n)^(n)(t)

Let n be 1 since we're looking for a specific year.

100 = 250(1 - 0.07)^t

100/250 = (0.93)^t

0.4 = (0.93)^t

t = 13 years

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