Attendance at the new public school
has increased 15%. If the current
population is 359 students, how
many students were enrolled the year
before?

312 students

Step-by-step explanation:

In this problem, we are told that the current population of students in the public school is

n = 359

We can call

= the population of students the previous year

We know that the attendance has increased by 15% in the past year, so we can write

where 15/100 represents the percentage of 15%.

The expression can be rewritten as

And solving for n0, we find how many students were enrolled the year before:

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.