Question

model it: double number lines
try this problem using a double number line to show percents.
3 a total of 300 students go to washington, d.c.
a. label the tick marks on the double number line.
students
percent 0%
b. ayana finds that 50% of the students visit the capitol.
what number of students lines up with 50%?
this means ____ % of 300 students is ____ students.
c. ayana finds that 0.1 of the students visit the lincoln memorial. do more students visit the capitol or the lincoln memorial? how do you know?

Explanation:

Step1: Divide total students by ticks

Total students = 300, number of intervals = 10.
$\frac{300}{10}=30$
Each tick on the student line increases by 30: 0, 30, 60, 90, 120, 150, 180, 210, 240, 270, 300.
Each tick on the percent line increases by 10%: 0%, 10%, 20%, 30%, 40%, 50%, 60%, 70%, 80%, 90%, 100%.

Step2: Calculate 50% of 300

Find 50% of total students.
$0.5 \times 300 = 150$

Step3: Convert 0.1 to percent, calculate students

0.1 equals 10%. Find 10% of 300.
$0.1 \times 300 = 30$
Compare 150 and 30: 150 > 30.

Answer:

a. Students line ticks (left to right): 0, 30, 60, 90, 120, 150, 180, 210, 240, 270, 300
Percent line ticks (left to right): 0%, 10%, 20%, 30%, 40%, 50%, 60%, 70%, 80%, 90%, 100%
b. This means 50% of 300 students is 150 students.
c. More students visit the Capitol. 50% of 300 is 150 students, while 0.1 (10%) of 300 is 30 students, and 150 > 30.