Hudson wants to ride his bicycle 51 miles this week. He has already ridden 12 miles. If he rides for 6 more days, what is the average number of miles he would have to ride each day to meet his goal?

Given:

Hudson wants to ride his bicycle 51 miles this week.

He has already ridden 12 miles.

He rides for 6 more days.

To find:

The average number of miles he would have to ride each day to meet his goal.

Solution:

Let x be the average number of miles he would have to ride each day to meet his goal.

Miles already ridden = 12

Number of remaining days = 6

Number of miles he ride his bicycle in 6 days = 6x

Hudson wants to ride his bicycle 51 miles this week.

Divide both sides by 6.

Therefore, the average number of miles he would have to ride each day to meet his goal is 6.5 miles per day.

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4