This expression represents the average cost per game, in dollars, at a bowling alley, where n represents the number of games: . What is the average cost per game if James bowls 4 games?

$4.75

Step-by-step explanation:

The expression given for then average cost is :

(3n + 7 / n)

If the number of games, n = 4

The average cost becomes :

(3n + 7) / n

Put n = 4 in the equation

(3(4) + 7) / 4

(12 + 7) / 4

19 / 4

= 4 3/4

= $4.75

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!

final total: 63

step-by-step explanation:

60 times sales tax

60 times 0.05

3

60 + 3

63