Functions - Problem Solving

I don't understand my teacher at all! Or maybe it's just me doing something wrong..?

1) Shannon's mother brings her to an indoor playground. The admission costs $3 plus an additional fee for each half-hour of play. It costs $6 for Shannon to play for one hour. Graph the relationship.

So I have two equations:

y = 3 + (0.5)(x)(h) ---> x = fee

6 = 3 + (0.5)(x)(2)

What I don't understand is why my teacher wrote:

6 = 3 + 3h

2) An internet provider sets its rates according to the following scheme. It charges $1.25 to log-on with the service and an additional $0.25 for every 10 minutes online. Write an equation to represent the total charge, C, in dollars, as a function of time online, h (hours).

This is the same type of question as the first one..

The equation I got:

10 minutes/60 minutes = 1/6

C = 1.25 + (0.25)(1/6)(h)

C = 1.25 + (1/24)(h)

I don't understand why my teacher wrote this:

C = 3.5h + 1.25

Thanks in advance!

Functions-problem solving

Quote:

Originally Posted by

**Jiyongie** I don't understand my teacher at all! Or maybe it's just me doing something wrong..?

1) Shannon's mother brings her to an indoor playground. The admission costs $3 plus an additional fee for each half-hour of play. It costs $6 for Shannon to play for one hour. Graph the relationship.

So I have two equations:

y = 3 + (0.5)(x)(h) ---> x = fee

6 = 3 + (0.5)(x)(2)

What I don't understand is why my teacher wrote:

6 = 3 + 3h

2) An internet provider sets its rates according to the following scheme. It charges $1.25 to log-on with the service and an additional $0.25 for every 10 minutes online. Write an equation to represent the total charge, C, in dollars, as a function of time online, h (hours).

This is the same type of question as the first one..

The equation I got:

10 minutes/60 minutes = 1/6

C = 1.25 + (0.25)(1/6)(h)

C = 1.25 + (1/24)(h)

I don't understand why my teacher wrote this:

C = 3.5h + 1.25

Thanks in advance!

Your teacher wrote an equation for Shannon.You have to make it general and graph cost versus hours played .

The second is similar but be careful