Question

Convert each rate using dimensional analysis. Round to the nearest tenth, if necessary.

30 mi / h = ____ ft / min
a. 2640 c. 880
b. 264 d. 2112

Answer 1

@austinL

Answer 2

Are you familiar with dimensional analysis?

Answer 3

Somewhat.

Answer 4

Ok, we have this
\[\frac{30 miles}{1 hour}=\frac{? feet}{1 minute}\]
How many feet in one mile?

Answer 5

5280?

Answer 6

Correct, so we would have
\[\frac{30miles}{1 hour}\times\frac{1mile}{5280feet}...\]
Now we need to get the hours to minutes. How many minutes in one hour?

Answer 7

60

Answer 8

Correct, so now we have
\[\frac{30 miles}{1hour}\times\frac{5280feet}{1mile}\times\frac{1hour}{60minutes}=?\]
I made an error before it is 5280/1

Answer 9

Okay? So, now what?

Answer 10

Multiply the numbers across the top, and multiply the numbers across the bottom.
\[\frac{30\times5280\times1}{1\times1\times60}=?\]

Answer 11

158,400/60?

Answer 12

Can that be simplified?

Answer 13

1504/.6?

Answer 14

\[\frac{158,400}{60}=2640ft/min\]

Answer 15

Thank you. (:

Answer 16

No problem!