Question

You need to switch the front and back tires ever 10,000 miles. Choose one vehicle and keep track of how far you travel in that vehicle for a week. Calculate the average, daily number of rotations made by the tires. Use your data to predict the date that you will need to witch the front and back tires.
My choice:
CRV
Tires circumference 25 inches
Travels about 225 miles in one week

Answer 1

We need to convert miles into inches.

Answer 2

10,000 miles =633,6000,000 inches

Answer 3

1 mile = 5280 feet

1 feet = 12 inches

How many inches is 225 miles?

Answer 4

99,000

Answer 5

That is wrong.

225 * 5280 * 12 will give you the answer

The first question asks:
Calculate the average, daily number of rotations made by the tires.

So you drive 225 miles in 7 days. We need to find how much you drive on average in 1 day. We then convert that to inches. And then we divide by the circumference of your tire to find out how many rotations were made by your tires.

Answer 6

For the second question:
Use your data to predict the date that you will need to witch the front and back tires.

All we have to do is 10,000/225

That gives us how many weeks later you will need to switch your tires.

Answer 7

225*5280*12=14,256,000

Answer 8

And divide that by 7 to get how many inches you travel in 1 day.


And then we need to divide it by the circumference of your tire.

Answer 9

When you said that the tire's circumference is 25, did you actually mean that the diameter of the tire is 25 inches?

Answer 10

No it said nothing about Diameter . It wanted the circumference of the tire.
14,256,000/7=2,036,571.4286
2,036,571.4286/25=81,462.857144

Answer 11

So did you find the circumference like this?

Answer 12

no I just measured straight across and it came out to 25

Answer 13

When you measure straight across, that would be the diameter :)

Answer 14

so the circumference would be 78.5

Answer 15

So the circumference is \( 25\pi\)

and \(\pi \approx 3.14\)

and so we get:

\(\Large \frac{2,036,571.4286}{78.5} = ?\)

Answer 16

Yes

Answer 17

What you get when you divide that is how many rotations your tires did in one day.

Answer 18

2,594.3621478

Answer 19

You're off by one decimal point.

It's 25943.5851

Answer 20

okay

Answer 21

For the second question:
Use your data to predict the date that you will need to witch the front and back tires.

All we have to do is 10,000/225

That gives us how many weeks later you will need to switch your tires.

Answer 22

44.444444444

Answer 23

and them multiply that by 7 to find how many days

and then you add the number of days to the current day to find out when you have to replace the tires

Answer 24

We can use this to add the number of days
http://www.timeanddate.com/date/dateadd.html

So how many days are in 44.44 weeks? :)

Answer 25

311.11

Answer 26

http://www.timeanddate.com/date/dateadded.html?m1=5&d1=3&y1=2016&type=add&ay=&am=&aw=&ad=311&rec=

and so we have to change the car tires on March 10th, 2017

That is considering we are using new tires starting today. But let's say you started using it last week since you had to see how many miles you drive on average.

That would be 7 less days, which is March 3rd, 2017

Answer 27

Thank you so much!(:

Answer 28

And btw, nice car choice! CRV gets good miles per gallon. :)

Answer 29

Anytime, Anna! (:

Answer 30

And thank you for asking a qualified helper question!