Colton is taking a long bike ride where he rides at a constant speed. The distance he bikes is proportional to the amount of time he has been biking. After 3.5 hours, he has traveled a distance of 49 miles.(b) Colton travels at the same rate as in (a) for 6 hours. Let d be the distance he biked. Set up and solve a proportion for d. (c) Colton would like to bike 200 miles. Let h be the number of hours it will take Colton to bike this distance. Solve a proportion for h. Round to the nearest tenth of an hour.

b) = 84 miles

c) = 14.3 hours

Step-by-step explanation:

Given that:

The speed of Colton is constant while riding a bike.

Formula for speed is given as:

If speed is constant, then we can deduct that:

Time = 3.5 hours

Distance = 49 miles

Therefore, the speed will be equal to:

Speed = = 14 miles/hr

b) Given that:

Time = 6 hours, then we have to find the distance to be hiked if the speed is same.

c) Given that:

Distance = 200 miles

Number of hours =

To find, the value of .

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

it shoild be o

step-by-step explanation: