8. The scatter plot shows a hiker's elevation above

sea level over time. The equation of the trend

line shown is y = 8.77x + 686. To the nearest

whole number, predict what the hiker's elevation

will be after 145 minutes.

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)

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

answer: 72: 111

step-by-step explanation: