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?
Question
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?
Solution
The equation of a line is given by y = mx + b, where m is the slope and b is the y-intercept.
In this case, Jason can cover 100 miles every 2 hours, so the slope (m) of the line is 100/2 = 50. This means that for every hour (x), Jason covers 50 miles.
He has already traveled 3.5 miles, which is the y-intercept (b) of the line.
So, the equation of the line that models the total miles traveled, y, in x hours after this point is:
y = 50x + 3.5
Similar Questions
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
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.
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
It took a racecar driver 3 hours and 20 minutes to go 500 miles. What is the constant of proportionality that relates the number of miles traveled, y, to the time, x? ResponsesA 166.7 miles per hour166.7 miles per hourB 170.5 miles per hour170.5 miles per hourC 130 miles per hour130 miles per hourD 150 miles per hour
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
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.