Question

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Johnny read an entire series of books with a total of 5,249 pages. In the equation below, d is the number of days it took Johnny to read the book series.

5,249 = 29d

What is the unit rate in the equation?

A. 5,220 pages per day
B. 29 pages per day
C. 5,249 pages per day
D. 181 pages per day

Answer 1

The unit rate you're trying to find is pages per day(or p/d), so the equation needs to have both a unit for pages and for days.
The equation we have is:

`5,249 = 29d`
If they read 5,249 pages, then we can include the unit for pages in the equation.
Since we also know that d is the number of days it took, you can replace d with days.
The equation becomes:

`5,249\ pages=29*(x\days)`
Now that we have one variable, we can solve for p/d:

`(5,249\ pages)/(29)=x\ days\\\\181 = x`
Thus it took them 181 days to read it all.

If Johnny read 5,249 pages over 181 days and the unit rate is pages per day(p/d), then the equation for finding p/d is:

`(p\ pages)/(d\ days)=(5,249\ pages)/(181\ days)=(29\ pages)/(1\ day)\\\\29\ (pages)/(day)`
Johnny read 29 pages per day.