Question

5. A private school opened in 2005 with an initial enrollment of 85 students. The enrollment has increased by an average of 18 students each year since the school opened. A nearby public school had an enrollment of 95 in 2005, and its enrollment has increased by an average of 15 students per year.
1. Let t = time in years, with t = 0 representing the year 2005. Let f(t) = the number of students enrolled at the private school and g(t) = the number of students enrolled at the public school. Create the two functions to represent the situation.
f(t)+ 18
g(t) + 15
2. Graph the system of equation.

Answer 1

.5. A private school opened in 2005 with an initial enrollment of 85 students. The enrollment has increased by an average of 18 students each year since the school opened. A nearby public school had an enrollment of 95 in 2005, and its enrollment has increased by an average of 15 students per year.
1. Let t = time in years, with t = 0 representing the year 2005. Let f(t) = the number of students enrolled at the private school and g(t) = the number of students enrolled at the public school. Create the two functions to represent the situation.
f(t)+ 18
g(t) + 15
2. Graph the system of equations to determine the point of intersection.
85(1) + 18 85(
95(1) +15
3. Interpret the point of intersection in the context of the problem.

Answer 2

i need help for 3..

Answer 3

and 2

Answer 4

@bibby

Answer 5

OK. We did this last night.

private school: f(t) = 85 +18t
public school: g(t) = 95 + 15t

For 2, you can just rewrite them as y = 85 + 18x
y = 95 + 15x

And graph that

Answer 6

for 3, to find the intersection of any 2 graphs, you set them equal to each other.

Solve for x:

95 + 15x = 85 + 18x

Answer 7

ok so thats..... it will take a while.

Answer 8

lol what are you having problems with?

Answer 9

well trying to find the right number that they both meet.

Answer 10

you don't have to guess. Just solve for x

95 + 15x = 85 + 18x
Start by getting the x's onto one side

Answer 11

So i subtract 15x from 18x and get 3x ?

Answer 12

Exactly. But you have to subtract 15x from the left too.

95 + 15x = 85 + 18x
-15x -15x
---------------------
95 = 85 + 3x

Answer 13

then i subtract 85 from 95 and get 10
x = 10?

Answer 14

what about the 3x?

Answer 15

ohh isnt it 7= x
or 13 = x

Answer 16

95 = 85 + 3x
-85 -85
------
10 = 3x

Answer 17

so we have to subtract 3 from each?

Answer 18

it's 3x not 3. 3 times x. Not 3+x

10=3x -> divide by 3 on both sides

Answer 19

ohhh yeaa! 10/3 = 3.3333333.......

Answer 20

you can just put it in as 10/3 I think.

Answer 21

ok thank you ..
i have another that i need help on.

Answer 22

but 10/3 as a year??

Answer 23

I guess you're right.

Either way, they want the point, that's not the final answer.

We have to plug in x=10/3 into one of the equation

Answer 24

ok
85 + 18 x 10/3