Kat123456789
contestada

Phil is riding his bike. He rides 25 miles in 2 hours, 37.5 miles in 3 hours, and 50 miles in 4 hours. Find the constant of proportionality and write an
equation to describe the situation.

Respuesta :

To find the constant of proportionality, divide the variables - in this case, 25/2=12.5 is our answer.

An equation to describe this would be 12.5t=s, where t is the time, in hours, and s is the speed, in miles per hour.  This is because each speed variable is 12.5 times the time in hours.
SchwarzschildRadius
So,

He rides 25 miles in 2 hours, 37.5 miles in 3 hours, and 50 miles in 4 hours.

(I'm thinking) the constant of proportionality is the same as solving for the unit rate.

Divide 25 by 2.
12.5 mph
[tex] \frac{12.5\ miles}{1\ hour} [/tex]

That (I think) is the constant of proportionality

Now we will write an equation to represent all the data.
[tex] \frac{12.5\ miles}{1\ hour} = \frac{25\ miles}{2\ hours} = \frac{37.5\ miles}{3\ hours} = \frac{50\ miles}{4\ hours} [/tex]

Hope I helped!  If not, you can delete my answer.