Based on the graph, which statements about the points could be true? Check all that apply.

Mathematics

1 answer:

aliina [53]3 years ago

3 0

Answer:

A. Point D could be the image of B.

D is up and to the right of B, so yes. Select choice A

B. Point C could be the image of A.

C is below A, so no

C. Point E could be the image of C.

E is up and to the right from C so yes, Select choice C

D. Point D could be the image of A.

D is down and to the right of A so no.

E. Point E could be the image of B.

E is up and to the right of B so yes. Select choice E

F. Point C could be the image of E.

No C is down and to the left of E.

Answers: A C E

Step-by-step explanation:

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Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different

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Answer:

(a) As time increases, the amount of water in the pool increases.

11 gallons per minute

(b) 65 gallons

Step-by-step explanation:

From inspection of the table, we can see that as time increases, the amount of water in the pool increases.

We are told that Ann adds water at a constant rate. Therefore, this can be modeled as a linear function.

The rate at which the water is increasing is the rate of change (which is also the slope of a linear function).

Choose 2 ordered pairs from the table:

$\textsf{let}\:(x_1,y_1)=(8, 153)$

$\textsf{let}\:(x_2,y_2)=(12,197)$

Input these into the slope formula:

$\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11$

Therefore, the rate at which the water in the pool is increasing is:

11 gallons per minute

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

$y-y_1=m(x-x_1)$