Question

48. TECHNOLOGY You have a subscription to an online magazine that

allows you to view 25 articles from the magazine's archives. You are
charged an additional fee for each article after the first 25 articles
viewed. After viewing 28 archived articles, you paid a total of $34.80.
After viewing 30 archived articles, you paid a total of $40.70.
a. What is the cost per archived article after the first 25 articles viewed?
b. What is cost of the magazine subscription?

Answer 1

The cost of the magazine subscription is approximately $18.405.

Explanation:

Let's dendote the cost per archived article after the first 25 as C and the cost of the magazine subscription as S.

According to the given information:

After viewing 28 articles, the total cost is $34.80.

After viewing 30 articles, the total cost is $40.70.

Let's set up a system of equations to solve for C and S:

For the first scenario (viewing 28 articles):

25C+3C=34.80

For the second scenario (viewing 30 articles):

25C+5C=40.70

Now, solve the system of equations.

1. 28C=34.80−25C

53C=34.80

C≈0.6558

1. 30C=40.70−25C

55C=40.70

C≈0.7400

a. The cost per archived article after the first 25 articles viewed (C) is approximately $0.6558.

b. To find the cost of the magazine subscription (S), we can substitute C into either equation:

25×0.6558+S=34.80

16.395+S=34.80

S≈18.405

Therefore, the cost of the magazine subscription is approximately $18.405.