you are running a ten mile race. The function d(t) = 1-8 |t-40| represents the distance in miles you are from the water stop after t minutes. interpret the intercepts. Explain what each represents in this context

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Answer 1

In this context, the x-intercepts of the graph of the function d(t) = 1 - 8 |t - 40| represent the times at which you are exactly one mile from the water stop. These intercepts occur when d(t) = 0, which means that you are at the water stop. Solving the equation d(t) = 0, we find that the x-intercepts are t = 20 and t = 60.

The y-intercept of the graph represents the distance in miles that you are from the water stop at time t = 0. In this case, the y-intercept is d(0) = 1 - 8|0 - 40| = 1 - 8|-40| = 1 - 8(-40) = 1 + 320 = 321. This means that at time t = 0, you are 321 miles from the water stop.

In summary, the x-intercepts represent the times at which you are exactly one mile from the water stop, and the y-intercept represents the distance in miles that you are from the water stop at time t = 0.

Related Questions

Joey made a scale drawing of an Italian restaurant. The restaurant's kitchen is 63 millimeters long in the drawing. The actual kitchen is 28 meters long. What is the scale of the drawing?
9 millimeters : _______meters

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Answer: 4 meters

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please help asap! Also explain how you did it... Tys m!♡♡

Answers

Answer:

A" (-3, 0)

B" (9, 9)

C" (9, 0)

Step-by-step explanation:

The hint explains how to get the final coordinates.

The original figure ABC has vertices

A (-3, -1)
B (1, 2)

C (1, -1)

There are two separate transformations for this triangle, so let's take it one step at a time

The first transformation is a translation by the vector <2, 1>, This means we get a new figure A'B'C' where we add 2 to each of the x coordinates of the original figure and 1 to the y coordinates of the original figure

For A which is (-3,-1) the transformed coordinate becomes:
A -> A' -> A' (-3 + 2, -1 + 1) => A'(-1, 0)

Similarly

B(1, 2) -> B' is B'(1 + 2, 2 + 1) => B'(3, 3)

C(1, -1) -> C'(1 + 2, -1 + 1) or C'(3, 0)

So the first transformation results in a triangle A'B'C' with the following coordinates:

A'(-1, 0)
B'(3, 3)
C'(3, 0)

The second transformation is a dilation of A'B'C' which results in an expansion or compression of the image depending on the scale factor. Here the scale factor is 3 so the image is expanded by a factor of 3

Dilation simply requires you to multiply both x and y coordinates oof A'B'C' by 3

A' (-2 , 0) -> A"(-1 x 3, 0 x 3) => A"(-3, 0)
B'(3, 3) -> B"(9, 9)
C'(3, 0) -> C"(9, 0)

I have attached two images showing each of the transformations separately to give you a better idea

Carter made a scale drawing of the auditorium. The scale of the drawing was 1 inch : 9 feet. The stage is 5 inches long in the drawing. How long is the actual stage?
feet _____

Answers

29 feet and I need 2 more Brainleist before I get expert can you help?

Answer:

Step-by-step explanation:

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