Question

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.

Answer 1

Answer:

The constant of proportionality k = 11.5.

The equation will be: $\mathbf{y=11.5(x)}$

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: $k=\frac{y}{x}$

Putting values and finding k

x        y               k ($k=\frac{y}{x}$)

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:

$k=\frac{y}{x}\\or \\y=kx\\Put \ k=11.5\\y=11.5(x)$

So, the equation will be: $\mathbf{y=11.5(x)}$