Joshua442kidn
Answered

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1. A motorboat travels 196 meters in 20 seconds. What is the motorboat's unit rate of speed?
Step1. Write equivalent ratios.
The boat's rate of speed is 196m/20 secs.
Let X represent the unknown. The second ratio is: xM/1 sec.


Step2. set up and solve a proportion.

19/20 = X/1

196 . ------------= 20 .-------
--------=---------
X = -------

The unit rate ------ meters per second.

Sagot :

Solution:

It should be noted:

  • Given sentence: A motorboat travels 196 meters in 20 seconds.

Let's reread the sentence carefully.

A motorboat travels 196 meters in 20 seconds.

                                        ↥            ↥          ↥

                                 196 meters  =  20 seconds.

Equation formed: [tex]196 \space\ meters = 20 \space\ seconds[/tex]

To find the unit rate (meters/second), divide both sides by 20.

Divide both sides by 20.

  • [tex]\frac{196}{20} \space\ meters = \frac{20}{20} \space\ seconds[/tex]
  • => [tex]9.8 \space\ meters = 1 \space\ second[/tex]

Thus, the unit rate is 9.8 meters per second.

MisterBrainlyidn

Let x represents the unknown speed

So

Proportion is

  • 196m/20s=xm/s
  • x=196/20
  • x=98/10
  • x=9.8m/s
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