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GarryVolchara [31]
3 years ago
14

Which point on the graph shows the amount of water in the bucket after 1 second? Hint: Type your answer in the form (x coordinat

e, y coordinate).
plz answer.

Mathematics
1 answer:
Taya2010 [7]3 years ago
6 0

Answer:

\displaystyle \left(1,\frac{5}{12}\right)

Step-by-step explanation:

<u>Graphs</u>

The graph shows the amount of water in gallons as a function of time in seconds.

We are required to find the amount of water in the bucked after 1 second. Since the graph does not show an exact location for t=1, we must find the equation of the line.

Two points are clear on the graph: (0,0) (12,5). This gives us the necessary information to find the equation of the line, which has the form:

w=mt+b

Where w is the amount of water in the bucket, t is the time, and m and b are two constants to be determined.

Using the point (0,0):

0=m(0)+b

It follows that b=0

The equation now takes the form:

w=mt

Using the point (12,5):

5=m(12)

We find m:

\displaystyle m=\frac{5}{12}

The final equation is:

\displaystyle w=\frac{5}{12}\cdot t

Substituting t=1:

\displaystyle w(1)=\frac{5}{12}\cdot (1)=\frac{5}{12}

The bucket has 5/12 gallons of water at t=1 second. Expressing the answer as an ordered pair:

\boxed{\displaystyle \left(1,\frac{5}{12}\right)}

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