1.1: Estimating Height
Use the picture to estimate the height of Hyperion, the tallest known tree.
Let’s investigate the Burj Khalifa building.
Use the picture to estimate the height of Hyperion, the tallest known tree.
In 2011, a professional climber scaled the outside of the Burj Khalifa, making it all the way to 828 meters (the highest point on which a person can stand) in 6 hours.
Assuming they climbed at the same rate the whole way:
Have you ever seen videos of astronauts on the moon jumping really high?
An object on the moon weighs less than it does on Earth because the moon has much less mass than Earth.
A woman who weighs 160 pounds on Earth weighs 30 pounds on the moon. If a boy weighs 60 pounds on Earth, how much does he weigh on the moon?
There are many real-world situations in which something keeps happening at the same rate. For example:
In situations like these, we can use equivalent ratios to predict how long it will take for something to happen some number of times, or how many times it will happen in a particular length of time.
How long will it take the school cafeteria to serve 600 students?
The table shows that it will take the cafeteria 40 minutes to serve 600 students.
number of students | time in minutes | |
---|---|---|
row 1 | 15 | 1 |
row 2 | 60 | 4 |
row 3 | 600 | 40 |
How many students can the cafeteria serve in 1 hour?
The double number line shows that the cafeteria can serve 900 students in 1 hour.