Question

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.

Answer 1

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:
 $y = 10x + 100$
 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.

Answer 2

Answer:

The required function is $C(x)=100+10x$.  The graph of function passing through (0,100) and (-10,0). The x-scale is 1 and the y-scale is 10.

Step-by-step explanation:

The total cost cost function is defined as the sum of fixed cost and variable cost.

Total cost = Fixed cost + Variable cost

From the given information it is noticed that the cost of renting a community center is $100, with an additional cost of $10 per guest.

It means the fixed cost is $100 and the variable cost is $10x, where x is the number of guest.

Total cost function is

$C(x)=100+10x$

where, x is the number of guest.

Put x=0.

$C(0)=100+10(0)=100$

The y-intercept is (0,100).

Put C(x)=0,

$0=100+10x$

$x=-10$

The x-intercept is (-10,0).

Therefore the graph of function passing through (0,100) and (-10,0). The x-scale is 1 and the y-scale is 10.