The cost of renting a community center is $100, with an additional cost of $10 per guest. Which graph has the most appropriate scales and units for this situation?

For this case, the first thing we are going to do is write the equation that represents this problem.

 We then have to define variables:

 x: number of guests

 y: total cost

 The equation modeling the problem is given by:

 We observe that the equation is linear.

 The appropriate scales for the problem are:

 Horizontal axis: 1 in 1 starting from 0.

 Vertical axis: $ 20 in $ 20 starting from 0.

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: