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Phil is riding his bike. He rides 46 miles in 4 hours, 57.5 miles in 5 hours, and 69 miles in 6 hours. Find the constant of proportionality and write an equation to describe the situation. Let x represent the number of hours.

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Answer:

The constant of proportionality k = 11.5.

The equation will be: [tex]\mathbf{y=11.5(x)}[/tex]

Step-by-step explanation:

If x represents number of hours than y represents miles

We are given:

x        y

4         46

5         57.5

6         69

The constant of proportionality can be found using formula: [tex]k=\frac{y}{x}[/tex]

Putting values and finding k

x        y               k ([tex]k=\frac{y}{x}[/tex])

4         46            11.5

5         57.5         11.5

6         69            11.5

So, the constant of proportionality k = 11.5

Now, The equation will be:

[tex]k=\frac{y}{x}\\or \\y=kx\\Put \ k=11.5\\y=11.5(x)[/tex]

So, the equation will be: [tex]\mathbf{y=11.5(x)}[/tex]

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