10. Andrea joined a movie club, in which members can
purchase movies for $12 cach, after paying the lifetime
meinbership fee. Including the fee, her average cost per
movic has been $16. If Andrea has purchased 24 movies, what is the cost of lifetime membership in the movie
club?

The cost of lifetime membership in the movie club is $96.

Step-by-step explanation:

Given,

Cost per movie = $12

Let,

m be the number of movies

f be the membership fee.

Total amount = 12m+f      Eqn 1

Now it is given that cost per movie including fee is $16.

And there are 24 movies bought.

Therefore;

Cost of 24 movies including fee  = 16*24 = $384

Now,

Putting this amount and number of movies m in Eqn 1

The cost of lifetime membership in the movie club is $96.

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)