Question

HELP ASAP!!!!!

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.

Answer 1

Answer:Part a) The average speed is

Part b) The linear equation that represent the situation is

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