Applied Mathematics Level 5 Sample Item
Quik Call charges 18¢ per minute for long-distance calls. Econo Phone totals your phone usage each month and rounds the number of minutes up to the nearest 15 minutes. It then charges $7.90 per hour of phone usage, dividing this charge into 15-minute segments if you used less than a full hour. If your office makes 5 hours 3 minutes worth of calls this month using the company with the lower price, how much will these calls cost?
- $39.50
- $41.48
- $41.87
- $54.00
- $54.54
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Answer to Level 5 Sample Item
To calculate Quik Call's price, convert 5 hours 3 minutes to minutes (60 x 5 = 300; 300 + 3 = 303 minutes) and then multiply this by the rate of
18¢ ($0.18) per minute, which equals $54.54. To calculate Econo Phone's price,
round 5 hours 3 minutes up to 5 hours 15 minutes and then convert the 15 minutes
to ¼ or .25 hours. This value of 5.25 hours is multiplied by the rate of $7.90 per hour
to obtain $41.48. Compare the two costs, $54.54 and $41.48, to determine
the lower cost.
- 5 hr x $7.90/hr = $39.50
- 5.25 hr × $7.90/hr = $41.48
Correct
- 5.3 hr x $7.90/hr = $41.87
- 5 hr x 60 min/hr x 18¢/min = $54.00
- 5 hr x 60 min/hr = 300 min; 303 min x 18¢/min = $54.54
Why this is a Level 5 item:
- There are several steps of logic and calculation.
- Examinees must perform calculations using mixed numbers.
- Examinees must compare their answers with two sets of calculations and choose the "best deal."
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