Knowee
Questions
Features
Study Tools

Select the correct answer.Dudley is biking. He wants to cover 40 miles. If he travels 30 miles every 2 hours, what is the equation of a line that models y, the number of miles he has left to travel, after biking x hours? A. y = -15x – 40 B. y = -30x + 40 C. y = -15x + 40 D. y = 30x – 40

Question

Select the correct answer.Dudley is biking. He wants to cover 40 miles. If he travels 30 miles every 2 hours, what is the equation of a line that models y, the number of miles he has left to travel, after biking x hours? A. y = -15x – 40 B. y = -30x + 40 C. y = -15x + 40 D. y = 30x – 40

🧐 Not the exact question you are looking for?Go ask a question

Solution

The equation of a line is given by y = mx + c, where m is the slope and c is the y-intercept.

In this case, Dudley is biking at a rate of 30 miles every 2 hours, which is equivalent to 15 miles per hour. This is the slope of the line, and it's negative because the number of miles he has left to travel decreases as time passes.

The y-intercept is the starting point, which is 40 miles.

So, the equation of the line that models y, the number of miles Dudley has left to travel after biking x hours, is y = -15x + 40.

Therefore, the correct answer is C. y = -15x + 40.

This problem has been solved

Similar Questions

Select the correct answer.Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?

Type the correct answer in each box.Joan is hiking. She wants to cover 1,600 feet. She hikes 600 feet every 3 hours.  The equation of the line that models y, the distance left to hike, after hiking for x hours is y = x + . It will take Joan hours to hike 1,600 feet.

A construction crew is lengthening a road. The road started with a length of 53 miles, and the crew is adding 2 miles to the road each day.Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D. Then use this equation to find the total length of the road after the crew has worked 39 days.Equation: Total length of the road after 39 days

The linear regression equation is y = 61.93x - 1.79. Use the equation to predict how far this person will travel after 10 hours of driving. Time Driving (Hours) = 0, 1, 2, 3, 4, 5, 6 Total Distance (Miles) = 0, 55, 120, 188, 252, 307, 366 a. 10 miles b. 0.19 miles c. 617.5 miles d. 500 miles

A straight line passing through the origin represents a ________________________ relationship. However,not all straight lines pass through the origin. Such lines represent relationships that are not proportional.Find out how many cars the baseball team needs to wash before it starts making a profit. The team spent $75setting up the car wash, and they are charging $5 per car for a wash.A. Write an equation to represent the amount ofmoney collected in dollars, y, in terms of the numberof cars washed, x. Ignore the setup cost. 𝑦 = 𝑥B. What do you need to do to the equation in part Ato account for the setup cost?To account for the setup cost, you need to_______add _______subtract 75 from the right sideof the equation obtained in part A.C. Write an equation representing the profit madeon the car wash in dollars, y, in terms of the numberof cars washed, x, after expenses. 𝑦 = 𝑥D. What is the value of the profit when the baseballteam washes 0 cars? What point represents thisvalue? What does the y-value of this point mean interms of the problem?E. How many cars does the baseball team have towash to break even? What point represents thisvalue? What does the x-value of this point mean interms of the problem?

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.