Question

1. typing three students learn to type. use the table below to find the unit rate for each student. who types the fastest?

student	number of words	time (in minutes)	typing rate
shana	240	5	? words/min
randy	180	4	? words/min

in exercises 15–18, make a table to help you answer the question.

1. hiking susan started hiking at 8:00 a.m. she hiked 6 miles to a waterfall in 2 hours. ricardo began hiking another trail at 8:45 a.m. he hiked 5 miles to an overlook in 3 hours. did they hike at the same rate? explain. what information is important to solve the problem? what information is irrelevant?
2. pet care you take care of a neighbor’s cats for seven days and are paid $50. your friend takes care of a neighbor’s dogs for a three day holiday weekend and is paid $30. find your daily wage and your friend’s daily wage. who has a higher daily wage? evaluate whether your answer is reasonable.

Explanation:

Problem 14

Step1: Calculate Chung's rate

Divide words by time: $\frac{126}{3} = 42$ words/min

Step2: Calculate Shana's rate

Divide words by time: $\frac{240}{5} = 48$ words/min

Step3: Calculate Randy's rate

Divide words by time: $\frac{180}{4} = 45$ words/min

Step4: Compare the three rates

$48 > 45 > 42$

Step1: Calculate Susan's hiking rate

Divide miles by time: $\frac{6}{2} = 3$ miles/hour

Step2: Calculate Ricardo's hiking rate

Divide miles by time: $\frac{5}{3} \approx 1.67$ miles/hour

Step3: Compare rates and identify info

Start times are irrelevant; distance and time are key.

Step1: Calculate your daily wage

Divide pay by days: $\frac{50}{7} \approx 7.14$ dollars/day

Step2: Calculate friend's daily wage

Divide pay by days: $\frac{30}{3} = 10$ dollars/day

Step3: Compare wages and verify reasonability

$10 > 7.14$; the values align with total pay divided by days worked.

Answer:

Chung: 42 words/min, Shana: 48 words/min, Randy: 45 words/min. Shana types the fastest.

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Problem 15