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Brut [27]
3 years ago
15

A graph is drawn to represent a relationship between distance, d, and time, t.

Mathematics
1 answer:
enyata [817]3 years ago
7 0

The situation that could be described by the linear function is given as follows:

Each point shows the remaining distance, in feet, to the finish line of a race t seconds after a runner begins the final stretch and runs at a constant speed.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Linear function have constants rate of change, and in this problem we want a function in which the output is decaying, hence the correct option is given by:

Each point shows the remaining distance, in feet, to the finish line of a race t seconds after a runner begins the final stretch and runs at a constant speed.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

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The Bailey family and the Howard family each used their sprinklers last summer. The water output rate for the Bailey family's sp
Nady [450]

Answer:

Running time of Bailey's family sprinkler = x = 20 hrs

Running time of Howard's family sprinkler = y = 35 hrs

Step-by-step explanation:

We will make equations of time and flow of each family's sprinkler.

1. Time equation will be:

Let x is the time of Bailey's family sprinkler

Let y is the time of Howard Family Sprinker

Thus equation from the given information is both sprinklers ran for 55 hours.

x+y=55                           (eq:1)

2. Flow of water equation will be derived from the fact that if we multiply the flow of one sprinkler with its time it will give the total flow of water

thus: Flow of Bailey's family sprinkler = x*20

and Flow of Bailey's family sprinkler = y*35

Total flow is given = 1625

Therefor adding the two equations will give total flow equation

(x*20) + (y*35) = 1625  

20x+35y=1625                    (eq:2)

Now we have two equations and two variables x and y and we will use the substitution method to solve them.

Using equation one

x+y=55

x=55-y

Using value of x in second equation

20x +35y = 1625

Substituting value of x

20(55-y)) + 35y = 1625\\1100-20y+35y=1625\\1100+35y-20y=1625\\15y=1625-1100\\15y=525\\y=525/15\\y=35

Now putting the value of y in equation # 1

x+y=55\\x+35=55\\x=55-35\\x=20

Thus the answers are:

Running time of Bailey's family sprinkler = x = 20 hrs

Running time of Howard's family sprinkler = y = 35 hrs

8 0
3 years ago
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Answer:

423

Step-by-step explanation:

240+21+162

6 0
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one side of a kite is 1 cm less than 4 times the length of another. if the perimeter is 38 cm, find the length of each side
lawyer [7]
We can use a system of equations to solve this.
Length 1 = x
Length 2 = y

Set up the system.
2x+2y=38
x+1=4y

Isolate the variable on one equation.
x=4y-1

Substitute that into the other equation.
2(4y-1)+2y=38

Solve.
8y-2+2y=38
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Substitute back into other equation.
x=4(4)-1=16-1=15

The lengths are 15 cm and 4 cm.

Hope this helps!
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