SOLUTION: An insect is moving at a speed of 15 ft/min. What is the insect’s speed in yd/h? (Points : 5) a. 4 yd/h b. 300 yd/h c.900 yd/h d. 2700 yd/h

Algebra ->  Coordinate-system -> SOLUTION: An insect is moving at a speed of 15 ft/min. What is the insect’s speed in yd/h? (Points : 5) a. 4 yd/h b. 300 yd/h c.900 yd/h d. 2700 yd/h      Log On


   



Question 932544: An insect is moving at a speed of 15 ft/min. What is the insect’s speed in yd/h?
(Points : 5)
a. 4 yd/h
b. 300 yd/h
c.900 yd/h
d. 2700 yd/h

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
15 ft/min. What is the insect’s speed in yd/h
matrix%281%2C2%2C15%2Cft%2Fmin%29

We use the unit multiplier matrix%281%2C2%2C1%2Cyd%29%2Fmatrix%281%2C2%2C3%2Cft%29

matrix%281%2C2%2C15%2Cft%2Fmin%29%22%D7%22matrix%281%2C2%2C1%2Cyd%29%2Fmatrix%281%2C2%2C3%2Cft%29

So that the ft on top will cancel with the ft on the bottom.

Next use the unit multiplier matrix%281%2C2%2C60%2Cmin%29%2Fmatrix%281%2C2%2C1%2Chr%29

matrix%281%2C2%2C15%2Cft%2Fmin%29%22%D7%22matrix%281%2C2%2C1%2Cyd%29%2Fmatrix%281%2C2%2C3%2Cft%29%22%D7%22matrix%281%2C2%2C60%2Cmin%29%2Fmatrix%281%2C2%2C1%2Chr%29

So that the min on the bottom will cancel with the min on the top.

Now we cancel the "ft":

matrix%281%2C2%2C15%2Ccross%28ft%29%2Fmin%29%22%D7%22matrix%281%2C2%2C1%2Cyd%29%2Fmatrix%281%2C2%2C3%2Ccross%28ft%29%29%22%D7%22matrix%281%2C2%2C60%2Cmin%29%2Fmatrix%281%2C2%2C1%2Chr%29

also we cancel the "min":

matrix%281%2C2%2C15%2Ccross%28ft%29%2Fcross%28min%29%29%22%D7%22matrix%281%2C2%2C1%2Cyd%29%2Fmatrix%281%2C2%2C3%2Ccross%28ft%29%29%22%D7%22matrix%281%2C2%2C60%2Ccross%28min%29%29%2Fmatrix%281%2C2%2C1%2Chr%29

And we get:

matrix%281%2C2%2C15%2C%22%22%29%22%D7%22matrix%281%2C2%2C1%2Cyd%29%2Fmatrix%281%2C2%2C3%2C%22%22%29%22%D7%22matrix%281%2C2%2C60%2C%22%22%29%2Fmatrix%281%2C2%2C1%2Chr%29
or
15%22%D7%22%221%D760%22%2F%223%D71%22yd%2Fhr
or

300yd%2Fhr

When you get skilled in this type of problem, you'll be
able to do it in your head like this:

15 feet is 3 yards, so that's 5 yards in one minute. Then in 1 hour
it goes 60 times as far, and 60 times 5 is 300.  So it goes 300 yards
in 1 hour.  

Edwin