Question

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

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

Answer 1

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

Answer 2

Are you sure

Answer 3

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

Answer 4

I am confused

Answer 5

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.

Answer 6

sup nobody

Answer 7

9 days ago from anonymous

Answer 8

lets start the trend answer at the top'

Answer 9

Yea

Answer 10

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

Answer 11

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Answer 12

hi

Answer 13

Hey

Answer 14

Hiii

Answer 15

idk rip mrs sue tho

Answer 16

Yeah!!!
Ms sus

Answer 17

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Answer 18

I am back from the grave

Answer 19

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Answer 20

:( I thought I was missed

Answer 21

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

Answer 22

"look beyond what you see"
and STUDY

Answer 23

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

Answer 24

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).

Answer 25

normalize putting the answer :/

Answer 26

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).