Question

math data and financial literacy
percent application ii
marriott
names
date
period
objective: estimating the percent of an amount in real world scenarios
do now:
mr. marriotts 1st period class starts at 7:30am. at 7:25 he opens his classroom door
and finds 5 students waiting. when the late bell rang at 7:30, there were already 10
students in the classroom - he sees 5 students hurrying and waits before closing his
door. later, during his lesson, three more students arrived with late passes. mr.
marriotts 1st period has a total of 20 students in sis.

1. what percentage of the class was on time (arrived before 7:30)?

1.

1. what percentage of his class was early (waiting at 7:25)?

2.

1. what percentage of his class arrived before he started his lesson?

3.

1. what percentage showed up for class?

a. less than 50%
b. between 50 and 60%
c. between 60 and 75%
d. between 75 and 85%
e. between 85 and 95%

Explanation:

Step1: Calculate the number of students on time

Students on time (before 7:30) are \(10 + 5=15\).

Step2: Calculate the percentage of students on time

The formula for percentage is \(\frac{\text{part}}{\text{whole}}\times100\). Here, part \( = 15\), whole \(=20\). So \(\frac{15}{20}\times100=\frac{15\times100}{20}=75\%\).

Step3: Calculate the number of students early

Students early (waiting at 7:25) are \(5\).

Step4: Calculate the percentage of students early

Using the percentage formula \(\frac{5}{20}\times100=\frac{5\times100}{20} = 25\%\).

Step5: Calculate the number of students before the lesson started

Students before the lesson started (by 7:30) are \(10+5 = 15\).

Step6: Calculate the percentage of students before the lesson started

Using the percentage formula \(\frac{15}{20}\times100 = 75\%\).

Step7: Calculate the number of students who showed up

Students who showed up are \(10 + 5+3=18\).

Step8: Calculate the percentage of students who showed up

Using the percentage formula \(\frac{18}{20}\times100=\frac{18\times100}{20}=90\%\).

Answer:

1. \(75\%\)
2. \(25\%\)
3. \(75\%\)
4. e. Between \(85\%\) and \(95\%\)