Chapter ISG, Problem 2.1.2.8P

a.

To determine

To write an equation

Answer to Problem 2.1.2.8P

  $C=6.85+2.99m$

Explanation of Solution

Given information:

One time sign up fees= $6.85

Rate per movie= $2.99

Calculation:

Let C be total cost of watching movies, m be number of movies watched,

According to question,

  $C=6.85+2.99m$

Hence, $C=6.85+2.99m$ is the equation.

b.

To determine

To find the total cost of 16 movies watched

Answer to Problem 2.1.2.8P

  $\$54.69$ Is the total cost

Explanation of Solution

Given information:

  $C=6.85+2.99m$

Calculation:

Substituting values of m,

  $C=6.85+2.99(16)$

Solving,

  $C=6.85+47.84$

So,

  $C=54.69$

Hence, total cost of watch 16 movies is $\$54.69$

c.

To determine

To find who is correct

Answer to Problem 2.1.2.8P

The statement is incorrect. Her sister was correct

Explanation of Solution

Given information:

Total cost $19

  $C=6.85+2.99m$

Calculation:

Substituting values in equation,

  $19=6.85+2.99m$

Solving,

  $2.99m=19-6.85$

So,

  $2.99m=12.55$

Dividing equation by 2.99

  $m=4.06$

As movies cannot be in decimals it is an entity. The statement is incorrect.

d.

To determine

To find cost per movie

Answer to Problem 2.1.2.8P

$5.84

Explanation of Solution

Given information:

Cost of 13 movies at movie mania= cost of 9 movies at SuperFlix.

Calculation:

Let cost per movie be y

Substituting values,

  $6.85+2.99(13)=9(y)$

Solving,

  $6.85+45.72=9y$

So,

  $y=\frac{52.57}{9}$

Now,

  $y=5.84$

Hence, cost per movie at Superflix is $5.84