Two hikers are walking along the appalachian trail. the first hiker is 2 miles ahead of the second hiker. both hikers are traveling in the same direction at the same speed, 1 mile per hour. let x represent the distance traveled by the first hiker after a certain time period.

several students wrote equations for this situation. which student is correct?

a.

alex said, “the equation y = 2x + 1 represents the total distance traveled by both hikers.”

b.

brenda said, “the equation y = 3x represents the total distance traveled by both hikers.”

c.

chris said, “the equation y = x – 2 represents the distance traveled by the second hiker.”

d.

drake said, “the equation y = x + 2 represents the distance traveled by the second hiker.”

Chris is correct. (Choice letter C)

Step-by-step explanation:

We can eliminate choices A and B from the get-go because the problem stated that both hikers are traveling at 1mi/hr. This means that the slope of the equation would equate to 1, so just x.

That leaves us with C and D. The two equations both have a slope of 1, but C has a y-intercept of -2 and D has a y-intercept of 2, which represents the starting location of the second hiker. The first hiker is the one who is ahead by 2 miles, so it can't be D. This leaves us with choice C. Chris is correct.

just do 5.2 + 2 ( 7.2) and 1/3 x 3 (.9) and youv'e got your equation. 0.9( 9/10) + 7.2 ^2 = 16.4 hope i could !

step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."