Answer:
The hiker's elevation after 145 minutes will be 1958 meters.
Step-by-step explanation:
The equation of the trend line of the scatter plot showing a hiker's elevation is y = 8.77x + 686 .......... (1), where x is in minutes (say) and y is in meters (say).
Now, we have to predict the hiker's elevation after 145 minutes.
So, from equation (1) we get, y = 8.77 × 145 + 686 = 1957.65 ≈ 1958 meters. (Answer)
The answer you are looking for is 3.5+3.5. This is because a doubles fact are any two of the same numbers that are added together.
First find the slope of the line segment joining the points.
Slope = ((-5)-7)/(1-(-3)) = -3
The slope of any perpendicular to the line is 1/3
Find the midpoint of the line segment by taking the average of the coordinates.
x-coord of midpoint = (-3+1)/2 = -1
y-coord of midpoint = (7-5)/2 = 1
Midpoint : (-1,1)
Point-slope equation for line of slope 1/3 that passes through (-1,1):
y-1 = (1/3)(x+1)
Fraction left after spending = 1 - 1/3 = 2/3
Fraction saved = 3/8 x 2/3 = 1/4
Fraction left after saving = 2/3 - 1/4 = 5/12
Fraction shared with 3 people = 5/12 ÷ 3 = 5/12 x 1/3 = 5/36
Answer: 5/36
The y-intercept exists where x is 0. In our table, the y value is -4 when x is 0. So that's the place where the graph will go through the y axis. (0, -4) with -4 being the y-intercept.