Anna wants to rent movies from either service a or service b. service a charges $37.92 as a subscription fee with a charge of $2.18 per movie. service b charges $33.25 as a subscription fee plus $3.55 per movie. service b is running a special offer where the first movie is free.

given that anna always rents at least 1 movie in a given subscription period, how many movies would she have to rent for the average cost per movie to be equal at service a or service b?
a.
6
b.
0
c.
1
d.
7

practice. practice. practice.

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)