kyle participated in a 63-mile bikeathon. the table shows kyle’s times at the beginning and end of the bikeathon.

time (hours) distance biked (miles)
0 0
4.5 63
calculate kyle’s average biking speed in miles per hour.
define variables for the time and distance kyle biked.
write an equation that represents this situation.

Part a) The average speed is

Part b) The linear equation that represent the situation is

Step-by-step explanation:

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form  or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x > the time in hours

y ---> the distance biked in miles

we have the points

(0,0) and (4.5,63)

This problem represent a proportional relationship because is a line that passes through the origin

Find the constant of proportionality k

For the point (4.5,63)

The constant of proportionality or slope represent the average biking speed in miles per hour

so

The equation is equal to

yes.. it's proven to be 36.