Conversion Factor:
We know that there are 100 centimeters in 1 meter.
This relationship can be expressed as: [1, \text{meter} = 100, \text{centimeters}].
Algebraic Expression:
Let’s denote the number of meters as (m) and the corresponding number of centimeters as (c).
The algebraic expression relating the number of centimeters to the number of meters is: [c = 100m]
Shawn’s 50-Meter Dash:
Shawn competes in the 50-meter dash.
To find out how many centimeters Shawn runs for each 50-meter dash, we’ll use the conversion factor: [c = 100m] [c = 100 \times 50] [c = 5000]
Therefore, Shawn runs 5000 centimeters for each 50-meter dash.
Remember, this conversion factor allows us to switch between meters and centimeters easily.
Answer:
Step-by-step explanation:
Here's a table representing the relationship between the number of centimeters and the number of meters:
|Meters Centimeters
1 100
2 200
3 300
n 100n |
The algebraic expression relating the number of centimeters to the number of meters is:
Centimeters = 100 *Meters
Now, for Shawn's 50-meter dash, I substitute n = 50 into the algebraic expression:
Centimeters = 100*50 = 5000
Shawn runs 5000 centimeters for each 50-meter dash.
