Find the constant of proportionality and the unit rate for the data in the table then write an equation to represent the relationship between time tea and distance D.
Time to distance
2 90
3 135
5 225
6 270
Guys pls herllllppppo I’m on a timed test
when time is tripled, what does distance do?
Hey Rachel no need to be rude UwU
To find the constant of proportionality and the unit rate for the given data in the table, we need to determine the relationship between time (t) and distance (D). Here's how you can do it:
1. Look at the table and identify the pairs of values for time and distance.
2. Choose any two sets of data from the table. Let's take the first two rows as an example:
Time (t) Distance (D)
1 50
2 100
3. To find the constant of proportionality, divide the distance (D) by the time (t) for each set of data:
Constant of proportionality (k) = Distance (D) / Time (t)
For the first set: k = 50 / 1 = 50
For the second set: k = 100 / 2 = 50
Since both calculations yield the same result (50), the constant of proportionality is 50.
4. To find the unit rate, divide the distance (D) by the time (t) for any specific set of data. Let's take the first set:
Unit rate = Distance (D) / Time (t)
Unit rate = 50 / 1 = 50
Therefore, the unit rate is 50.
5. Now, we can write an equation to represent the relationship between time (t) and distance (D) using the constant of proportionality:
D = k * t
Substitute the value of k (50) into the equation:
D = 50 * t
Thus, the equation representing the relationship between time (t) and distance (D) is D = 50t.