Greg and Kevin both travel between two towns that are 90 miles apart. Greg travels and it takes him 1 hour 30 minutes. Kevin cycles and it takes him 7 hours 30 minutes. Work out the difference between the average speed.

48 miles/hour

Step-by-step explanation:

The average speed is the ratio of the total distance traveled to the total time taven, it i given by the formula:

Average speed = total distance / total time

For Greg, the total distance = 90 miles and the total time = 1 hour 30 minutes = 1 hour + (30/60) hour = 1.5 hours. Hence:

Average speed = 90 / 1.5 = 60 miles/hour

For Kevin, the total distance = 90 miles and the total time = 7 hour 30 minutes = 7 hour + (30/60) hour = 7.5 hours. Hence:

Average speed = 90 / 7.5 = 12 miles/hour

Difference between the average speed = 60 miles/hour - 12 miles per hour = 48 miles/hour

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is