Question 845·Easy·Math

0 / 2000

The scatterplot shows the number of pages $y$ a student read each day during various weeks $x$ of a reading program.

During which of the following time periods did the greatest increase in the number of pages read per day take place?

In a scatterplot, each dot pairs a week on the horizontal axis with a pages-per-day count on the vertical axis. To find the greatest increase, read the dots at the start and end of each offered period, then subtract the earlier count from the later one. The highest dot shows the most pages read, not necessarily the biggest increase.

Hints

Hint 1
Each scatterplot dot gives two values that belong together: a week and its pages-per-day count. Read the dots at both ends of each offered period before comparing them.
Hint 2
An increase is the later pages-per-day count minus the earlier one. All the offered periods last one week, so which period has the largest positive difference?

Step-by-step

Compare the changes between dots
Step 1
Read the endpoints from the scatterplot
No Desmos needed. Read the dots on the given graph. Each scatterplot dot pairs a week with its pages-per-day count: $(1,10)$ means 10 pages per day in week 1. The other dots needed for the offered periods are $(2,12)$ , $(3,18)$ , $(4,17)$ , $(5,20)$ , and $(6,25)$ .
Step 2
Find each increase
Each period lasts one week, so compare the pages-per-day counts by subtracting the earlier count from the later one:
$\begin{aligned} 1\text{ to }2 &: 12-10=2\\[1.4em] 2\text{ to }3 &: 18-12=6\\[1.4em] 4\text{ to }5 &: 20-17=3\\[1.4em] 5\text{ to }6 &: 25-20=5 \end{aligned}$
Step 3
Choose the largest change
The largest increase is $6$ pages per day, from week $2$ to week $3$ . Week $6$ has the highest ending count, $25$ , but its increase from week $5$ is only $5$ . Compare changes between dots, not the heights of the dots. Choice B.

Question 845·Easy·Math

Strategy

Hints

Step-by-step

Lessons that teach this

Study Hints

Strategy

Hints

Step-by-step

Lessons that teach this