2000 AMC 10 Problem 4

Attempt Problem 4 of the 2000 AMC 10 below, then check your answer against the professionally curated solution 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.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

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

Answer: D
Concepts:system of equationslinear equation
Difficulty rating: 1030
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.

← Problem 3#3
Full Exam

Problem 4 in Other Years