# math

find the constant of proportionality and unit rate for the data in the table. Then write the equation to represent the relationship between time t and distance d

Time Distance
2 hrs 90 miles
3 hrs 135 miles
5 hrs 225 miles
6 hrs 270 miles

I don't understand how to do this kind of math.Please help

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asked by gwen
1. you know that d = kt, meaning that their ratio d/t is constant.
Note that in each case, d/t=3

That means k=3.

So, d = 3t

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posted by Steve
2. distance (d) ∝ time (t)
d = kt

case 1:
when t = 2 , d = 90
90 = k(2)
k = 45

so d = 45t , the constant of proportionality is 45
the unit rate is 45 mph

check on the others
t = 3 --> d = 45(3) = 135 ✔
t = 5 --> d = 45(5) = 225 ✔
t = 6 --> d = 45(6) = 270✔

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posted by Reiny
3. position = speed * time + initial position
or
d = s t + di
90 = s (2) + di
135 = s(3) +di

subtract
45 = 3 s - 2 s = s
and
135 = 45(3) + di
or
di = 0

so in the end
d = 45 t

check that
for example does
270 = 45(6) ???

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posted by Damon
4. what does kt stand for? And how would I write this out on a workpad to show all the steps to get to the answer you got?

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posted by gwen
5. How did I ever get k=3?
My Bad!!

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posted by Steve
6. Im sia

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posted by Sia
7. hi sia

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posted by Minnie
8. Bye Sia

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posted by Mouse
9. what the hell anons???!!?! we're here to cheat on our quiz not for white supremacy!! go on y!a for that s@*\$!!!

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10. what are the answer?

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posted by JDog
11. ????????????

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12. this is confusing to me. i also cant get in trouble for plagiarizing.

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13. you wana know what i hate? i that that people like anonymous always going on this site and spamming and supporting controversial groups like the KKK, Isis, and the Nazis!

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posted by BLA BLA
14. I will do it a easier way so first you divide miles by hrs on each time and distance you divide which should equall to 45 miles/hr so the constant is 45 miles/ hr the unit rate is also the same. So D=45t

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15. The test is hard.... HERE'S THE ANSWERS

1: A
2: D
3: B
4: D
5: D
6: C
7: C
8: A
9: A
10: B
11: (idk)
I hope this helps

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16. I just took the assessment for 7th grade math Unit 4 Lesson 5 and Darkdream is 100% correct
Without Darkdream I would be failing math right now

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17. thank you Darkdream!!!!!!!!!!!!!!!!!!

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posted by LoveGym
18. but what about the algebra readiness unit 5 lesson 10?

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posted by brando
19. also why do they want us to find constant of proportionality and unit rate?

arent they the same?

:/

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posted by brando
20. yo yo yo. Mary Poppins! bluh bluh blorp.

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21. My name is long.

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