Question

2.A truck driver maintains a constant speed of 65 miles per hour on a stretch of highway that lasts 130 miles. Graph the remaining distance as a function of the time driven in hours.(1 point)

a.The horizontal axis labeled Hours Driven goes from 0 to 15 in increments of 1 and the vertical axis labeled Miles Remaining goes from 0 to 150 in increments of 10. The line segment starts at left parenthesis 0 comma 130 right parenthesis, passes through left parenthesis 1 comma 65 right parenthesis, and ends at left parenthesis 2 comma 0 right parenthesis.

b.The horizontal axis labeled Hours Driven goes from 0 to 15 in increments of 1 and the vertical axis labeled Miles Remaining goes from 0 to 150 in increments of 10. The line starts at left parenthesis 2 comma 0 right parenthesis, and passes through left parenthesis 3 comma 65 right parenthesis and left parenthesis 4 comma 130 right parenthesis.

c.The horizontal axis labeled Hours Driven goes from 0 to 15 in increments of 1 and the vertical axis labeled Miles Remaining goes from 0 to 150 in increments of 10. The line starts at left parenthesis 0 comma 0 right parenthesis, and passes through left parenthesis 1 comma 65 right parenthesis and left parenthesis 2 comma 130 right parenthesis.

d.The horizontal axis labeled Hours Driven goes from 0 to 15 in increments of 1 and the vertical axis labeled Miles Remaining goes from 0 to 150 in increments of 10. The line segment starts at left parenthesis 0 comma 130 right parenthesis, passes through left parenthesis 2 comma 65 right parenthesis, and ends at left parenthesis 4 comma 0 right parenthesis.

3.Tayson walked for 8 minutes before running n laps around a track. Tayson takes 1 minute and 45 seconds to run each lap. What is the graph of the function that relates the amount of time, T, in minutes Tayson walked or ran after running n laps?(1 point)

A.A function is graphed on a first quadrant coordinate plane. The horizontal axis labeled Laps goes from 0 to 10 in increments of 1. The vertical axis labeled Time in minutes goes from 0 to 35 in increments of 1. A line starts at (0, 5) and passes through (2, 17) and (5, 35).

B.A function is graphed on a first quadrant coordinate plane. The horizontal axis labeled Laps goes from 0 to 10 in increments of 1. The vertical axis labeled Time in minutes goes from 0 to 35 in increments of 1. A line starts at (0, 8), and passes through (4, 11) and (8, 14).

C.A function is graphed on a first quadrant coordinate plane. The horizontal axis labeled Laps goes from 0 to 10 in increments of 1. The vertical axis labeled Time in minutes goes from 0 to 35 in increments of 1. A line starts at (0, 8), and passes through (4, 15).

D.A function is graphed on a first quadrant coordinate plane. The horizontal axis labeled Laps goes from 0 to 10 in increments of 1. The vertical axis labeled Time in minutes goes from 0 to 35 in increments of 1. A line starts at (0, 1.75), and passes through (1, 9.75). All coordinates are approximate.

4.Function f(x) has a slope of 32 and a y-intercept of 6. Explain how the graph of f(x) could be used to find the x-intercept.(1 point)

A.Find the x-coordinate of the point that crosses the x-axis. The x-intercept is −4.

B.Find the y-coordinate of the point where x=1. The x-intercept is 152.

C.Use the value of riserun for the function, which is 32.

D.Find the y-coordinate of the point that crosses the y-axis. The x-intercept is 6.

Answer 1

C

Explanation:

Answer 2

The correct option is;

c. The horizontal axis labeled Hours Driven goes from 0 to 15 in increments of 1 and the vertical axis labeled Miles Remaining goes from 0 to 150 in increments of 10. The line starts at left parenthesis (0, 0), and passes through (1, 65) and (2, 130)

Explanation:

The given parameters are;

The speed of the truck = 65 miles per hour

The length of the highway = 130 miles

Therefore, from the given information, we have;

The time, t, it will take the truck to arrive at the end of the highway is given as follows;

Time = Distance/speed = 130/65 = 2 hours

Therefore, if the truck timing starts from the point (0, 0), we have;

The points on the straight line (constant) speed graph are;

(0, 0), (1, 65), and (2, 130)