Ms. chen is planning to take her camp group on a field trip to pottery bayou where each person will create her own piece of art pottery. the regular cost is $16 per person. there is a group special that costs $10 per person with an additional $54 fee for a private room. ms. chen is trying to decide if she should use the regular price or the group special.

write an equation to show the total cost of the regular price with x people (8 points)

write an equation to show the total cost of the group special with x people (8 points)

The equation that shows the total cost of the regular price with x people is C=16x.

The equation that shows the total cost of the special price with x people is C=54+10x.

Step-by-step explanation:

Let x be the number of people in the group and C be the total cost.

1. If the regular cost is $16 per person, then Ms. Chen will pay the regular price $16x for the group. Thus, the equation that shows the total cost of the regular price with x people is C=16x.

2. If there is a group special cost $10 per person with an additional $54 fee for a private room, then Ms. Chen will pay special price $(54+10x) for the group. Thus, the equation that shows the total cost of the special price with x people is C=54+10x.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is