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.

x= -3

step-by-step explanation:

step 1: simplify brackets

4 - x - 1 = 6

step 2: simpilfy

3 - x = 6

step 3: subtract 3 from both sides

-x = 6 - 3

step 4: simpilfy 6 - 3

-x = 3

step 5: multiply both sides by -1

x = -3

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.