Math Problem Statement
Daniel records the numbers of pages he reads and the amount of hours it takes him. (7.RP.2b) Hours Pages 2 30 4 60 90 6 How many pages does Daniel read per hour? A 15 pages an hour B 25 pages an hour C 30 pages an hour D 60 pages an hour
Solution
To determine how many pages Daniel reads per hour, we first need to identify a constant unit rate from the data provided.
From the table:
- In 2 hours, Daniel reads 30 pages.
- In 4 hours, he reads 60 pages.
- In 6 hours, he reads 90 pages.
Now let's find the rate of pages read per hour:
We can use any of the time intervals, as the rate should be constant. Let's use the first set of data (2 hours, 30 pages):
Therefore, Daniel reads 15 pages per hour.
The correct answer is: A) 15 pages an hour
Would you like more details on how this is calculated or have any questions?
Here are 5 related questions to explore:
- If Daniel reads for 10 hours, how many pages will he complete?
- If Daniel wants to read 120 pages, how many hours will it take him?
- What is the unit rate for pages per minute instead of hours?
- If Daniel's reading speed improves by 5 pages per hour, how many pages will he read in 4 hours?
- If Daniel reads 45 pages in 3 hours, does his reading rate change?
Tip: When solving rate problems, always look for a consistent ratio by dividing quantities of the same units.
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Math Problem Analysis
Mathematical Concepts
Ratio and Proportional Relationships
Unit Rate
Division
Formulas
Pages per hour = Pages / Hours
Theorems
Proportional Relationships
Suitable Grade Level
Grade 7