2000 AMC 10 Problem 4

Below is the professionally curated solution for Problem 4 of the 2000 AMC 10, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2000 AMC 10 solutions, or check the answer key.

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Concepts:system of equationslinear equation

Difficulty rating: 1030

4.

Chandra pays an on-line service provider a fixed monthly fee plus an hourly charge for connect time. Her December bill was $12.48, but in January her bill was $17.54 because she used twice as much connect time as in December. What is the fixed monthly fee?

$2.53

$5.06

$6.24

$7.42

$8.77

Solution:

January doubled only the connect time, so the increase $17.54$12.48=$5.06\$17.54 - \$12.48 = \$5.06 equals December's connect-time cost.

The fixed monthly fee is therefore $12.48$5.06=$7.42.\$12.48 - \$5.06 = \$7.42.

Thus, the correct answer is D.

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