Integrated Math III - Problem Set 4 by Evan Jenkins

Julianna, Cynthia, Jocelyn, Veronica

jroma5 — 2025-07-09 19:55:19 UTC

#1

jroma5 — 2025-07-09 19:58:00 UTC

Rule- 10t- every hour she increase her distance by 10 miles.

Her velocity (s') is 10mph.

1.

ccheungalmodovar1 — 2025-07-09 20:00:11 UTC

#2

jroma5 — 2025-07-09 20:04:00 UTC

Rule- 75t- every hour distance is increased 75 miles

The velocity (s') is 75 miles per hour

Group: Cindy, Rachell, Bria, Samantha, Azalyn

rashley12 — 2025-07-09 20:04:39 UTC

agonzalez2_175 — 2025-07-09 20:04:43 UTC

s=10t

s’=10

agonzalez2_175 — 2025-07-09 20:07:20 UTC

#2

jroma5 — 2025-07-09 20:14:34 UTC

3

ccheungalmodovar1 — 2025-07-09 20:31:47 UTC

agonzalez2_175 — 2025-07-09 20:32:58 UTC

5a. Bria is driving a steady 60 miles going to the beach.

5b. Sam is driving at a steady 78 miles to school this morning, so she won’t be late again this week.

5c. Cindy and Azalyn were heading to the beach. Both were driving at a steady 57 miles an hour, but Cindy got a head start of 35 miles since she lives closer.

5d. Rachell earns $80 every time she tutors, however she missed a day without notifying her boss so $50 was deducted from her pay.

#4

ccheungalmodovar1 — 2025-07-09 20:43:53 UTC

Your are on a HIGH speed train that travels 78 miles per hour. The trip starts right on time and there are no stops, just fast and consistent travel to your destination. The velocity is 78 miles an hour. S=78T

2025-07-09 20:57:27 UTC

ccheungalmodovar1 — 2025-07-09 21:00:39 UTC

s=60t

The Speedy Squirrel

Squeaky the squirrel loves to race! Every morning, he runs from his cozy tree house to the big oak tree where his friends play. We can write a special math sentence for Squeaky's run: s = 60t.

#5a

s means how many tiny steps Squeaky takes.

t means how many minutes he runs.

Squeaky takes 60 tiny steps every minute! He is super fast. If he runs for one minute, he takes 60 steps. If he runs for two minutes, he takes 120 steps! Squeaky is always on time for acorn-gathering.

jroma5 — 2025-07-09 21:03:30 UTC

You were already 35 miles from the city when you started tracking your distance. From that point on, you continued moving away from the city at a steady speed of 57 miles per hour.

S=57t+ 35

Velocity is 57 miles per hour

jbrown1504 — 2025-07-09 21:05:46 UTC

d. s = 80t - 50

Velocity: The velocity is 80 miles per hour.

Story: You passed a checkpoint 50 miles before the city. From there, you drove toward the city at 80 miles per hour. The negative number shows you started behind your reference point and then made progress quickly.

#6

jroma5 — 2025-07-09 21:16:04 UTC

Initial Thought

hchau7 — 2025-07-09 21:33:38 UTC

Revised thought

hchau7 — 2025-07-09 21:34:28 UTC

Checking and Extending Thoughts

hchau7 — 2025-07-09 21:34:52 UTC

#6

jroma5 — 2025-07-09 21:36:48 UTC

for t=3

The car would travel at a velocity of ABOUT 6 feet per second.

cveigl1 — 2025-07-10 19:52:40 UTC

cveigl1 — 2025-07-10 19:52:50 UTC

Toy Car Graph

cflores324 — 2025-07-10 19:53:40 UTC

Our thinking: what line can we get close to the point where t=3?

#6

jroma5 — 2025-07-10 19:57:54 UTC

Toy Car Problem

bpepe10 — 2025-07-10 20:06:21 UTC

Toy Car explanation

bpepe10 — 2025-07-10 20:15:13 UTC

We used two methods to find our velocity. We found the average rate of change (slope) between (2,4) and (4,16) by using change in y divided the change in x. We found the velocity as 6. Then, we also found the first difference between (2,4) and (3,9) and also between (3,9) and (4, 16), which were 5 and 7, respectively. We concluded that the velocity at 3 sec was 6, which is between 5 and 7.

skramer71 — 2025-07-10 20:16:22 UTC

skramer71 — 2025-07-10 20:17:04 UTC

skramer71 — 2025-07-10 20:17:16 UTC

skramer71 — 2025-07-10 20:17:27 UTC