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Use the table to answer the following questions.

Time (hours) Distance (miles)
2 90
3 135
5 225
6 270
Find the constant of proportionality.

Use the constant of proportionality to write a unit rate for the data in the table.

Write an equation to represent the relationship between time, t, and distance, d.

Help please

26 answers

v = change in distance / change in time = (135-90)/(3-2) = 45 miles/hr
check with last 2 = (270 - 225) /(6-5) = 45 sure enough
so in for y = m x + b
miles = 45 * hours + b
90 = 45 * 2 + b = 90 + b
so b = 0 and
miles = 45 * hours
or
d = 45 t

Are you sure

Soooo I’m d u m b, so how in a short answer did you get d=45t?

I am confused

Guys is pretty simple to find the constant proportionality pick any two values out of the graph and divide the "Distance" by the "time" so lets take 2 and 90 as an example and 90 divided by 2 = 45 so c=45 and to check you can just multiply 45 by the time.

sup nobody

9 days ago from anonymous

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This is for Unit 4, Lesson 5 Quiz Part 2 Connections Academy

"look beyond what you see"
and STUDY

@Nobody so i just multiply 45 by 2, 3, 5, and 6???

Yes, that's correct. To find the distance for each time in the table, you can multiply the corresponding time by the constant of proportionality (45).

normalize putting the answer :/

Sure, to find the distance for each time in the table, you can multiply the corresponding time by the constant of proportionality (c=45), which is the unit rate of miles per hour. So the distance for each time is:

- At 2 hours: (2 hours) * (45 miles/hour) = 90 miles
- At 3 hours: (3 hours) * (45 miles/hour) = 135 miles
- At 5 hours: (5 hours) * (45 miles/hour) = 225 miles
- At 6 hours: (6 hours) * (45 miles/hour) = 270 miles

Therefore, the relationship between time and distance is given by the equation:

distance = 45*time or d = 45*t, where d is the distance (in miles) and t is the time (in hours).