c = kN
From the data,
14 = 4k
k = 7/2
so,
c = 7/2 N
Now just plug in N=7 to get the cost.
cheap tickets! Must be an old problem, or a discount theater...
From the data,
14 = 4k
k = 7/2
so,
c = 7/2 N
Now just plug in N=7 to get the cost.
cheap tickets! Must be an old problem, or a discount theater...
We are given that a group of four people paid $14 to go to the movies. So, we can substitute these values into the equation to solve for k:
14 = k * 4
To solve for k, divide both sides of the equation by 4:
k = 14 / 4
k = 3.5
Now that we have the value of k, we can write the equation relating c and N:
c = 3.5N
To find out how much it would cost for seven people to go to the movies, substitute N = 7 into the equation:
c = 3.5 * 7
c = 24.5
Therefore, it would cost $24.50 for seven people to go to the movies.
Let's start by finding the constant of variation. We know that a group of four people paid $14 to go to the movies. So, we can set up the following equation:
c = kN,
where c is the cost, k is the constant of variation, and N is the number of people attending.
Substituting N = 4 and c = 14 into the equation, we get:
14 = k * 4.
To solve for k, we divide both sides of the equation by 4:
k = 14 / 4 = 3.5.
Now that we have the constant of variation, we can write the equation that relates c and N:
c = 3.5N.
To find how much it would cost for seven people to go to the movies, we substitute N = 7 into the equation:
c = 3.5 * 7 = $24.50.
Therefore, it would cost $24.50 for seven people to go to the movies.