Alonso walked with his friend Andy one day, and wanted to compare their speeds. Alonso walked 3 miles in one hour, and Andy walked 2 miles in 2 hours. Complete the table to graph the relationship for each person.

What is the constant of proportionality for Alonso?
What is the constant of proportionality for Andy?
Who walked faster?



Answer :

Answer:

The constant of proportionality for Alonso is 3.

The constant of proportionality for Andy is 1.

Alonso walked faster.

Step-by-step explanation:

Constant of Proportionality

The constant of proportionality defines the relation between the dependent and independent variables. It has a formula

                                             [tex]k=\dfrac{y}{x}[/tex],

where y is the dependent and x is the independent variable.

Finding K

To find the boys' k values we must determine the x and y values.

Time is often considered independent in scenarios like this one, so the number of hours that we're shown in the problem is referred to as x.

This leaves the distance or miles that the boys walked to be the y-value.

To find Alonso's k value we plug the distance he walked and the time it took for him to walk that distance.

                                                [tex]k=\dfrac{3}{1}=3[/tex]

We do the same for Andy's.

                                                [tex]k=\dfrac{2}{2}=1[/tex].

Comparing the k values which also happens to calculate their speeds [tex]\left(s=\dfrac{d}{t}\right)[/tex], we see that Alonso is faster than Andy.

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