Mathematics, 27.10.2020 14:00 tjkma1234

Jordan will hike the trail shown at a rate of 2 mi/h. Write a linear equation to represent the distance Jordan still has to walk after x hours. What does the y-intercept of the equation represent?

Jordan will hike the trail shown at a rate of 2 mi/h. Write a linear equation to represent the dist

Answers: 1

Show answers

Answers

Answer from: heavyhearttim

A linear equation can be use to describe Jordan's distance because the

rate of change of the distance with time is constant.

First part: The linear equation is; y = 13 - 2·xSecond part: The y-intercept represents the total distance of the trail.

Reasons:

From the map in the question, we have;

The distance of the trail Jordan has to hike = 13 miles

The rate at which Jordan will work = 2 mi/hr.

Part One:

Required:

The linear equation that represents the distance Jordan still has to walk

after x hours.

Solution:

Let y represent the distance Jordan still has to walk after x hours

The distance walked per hour = 2 miles

The distance walked after x hours = x × 2 miles = 2·x miles

Total distance = 13 miles

Distance remaining = Total distance - Distance walked

Distance remaining, y = 13 - 2·x

The linear equation that gives the distance Jordan still have to walk after x hours, is therefore;

y = 13 - 2·x

Second part:

The y-intercept is the y-value when x = 0

Therefore;

The y-intercept is; y = 13 - 2 × 0 = 13

Therefore;

The y-intercept represents the distance Jordan has to walk at the start

when the time, x, is 0, which is 13 miles or the the entire distance Jordan

has to walk.

Learn more here:

link

Answer from: gomez1718

If y represents the distance Jordan still has to walk after x hours, then the equation y = -2x + 13 describes the given equation.

The y-intercept of the equation represents total distance of the trail

Step-by-step explanation:

A linear equation can be written to represent the situation above using the slope-intercept equation form, which is given as y = mx + b

Where,

m = slope or rate of change = -2 mi/h (the slope is negative, because distance remaining decreases as hours increases)

b = y-intercept = 13 miles (this is the total distance of the trail. x (hours) is zero at this point)

The equation of the given situation, in slope-intercept form would be:

y = -2x + 13

Answer from: Quest

answer: answer is b.

[m < b = 120º]

step-by-step explanation:

Answer from: Quest

thus, the first answer choice, y = sec x, is the correct one

Another question on Mathematics

Mathematics, 21.06.2019 18:30

In the diagram below? p is circumscribed about quadrilateral abcd. what is the value of x

Answers: 1

Answer

Mathematics, 21.06.2019 19:30

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Answers: 3

Answer

Mathematics, 21.06.2019 20:30

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.

Answers: 1

Answer

Mathematics, 21.06.2019 20:30

The difference between two numbers is one. three times the larger number minus two times the smaller number is 9. what are the two numbers

Answers: 3

Answer

You know the right answer?

Jordan will hike the trail shown at a rate of 2 mi/h. Write a linear equation to represent the dista...

Questions