Agroup of 19 students want to see the show at the planetarium. tickets cost $11 for each student portal who is a member of the planetarium's frequent visitor program and $13 for each student who is not a member. the total cost of the students tickets is $209. joining the frequent visitor program at the planetarium costs $5 per year. write an equation that can be used to determine n, the number of visits per year for which the cost of being a member of the frequent visitor program is equal to the cost of not being a member.

Let us say that:

x = number of students who are members.

Since both groups went together to the planetarium, therefore this means that 19-x is the number of students who are not member

Since x paid $11 for tickets and (19-x) paid $13 so the total cost of the tickets is:

$11x + $13(19-x) = $209

Solving for x would get us the number of members:

11x + 247 – 13x = 209

-2x = -38

x = 19

Therefore this means that all students are members.

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