All categories

3 years ago

The table below shows the participation in the town soccer league during its first five seasons.

Mathematics

1 answer:

emmasim [6.3K]3 years ago

8 0

Answer:

C. $y=6.75x+81.25$

Step-by-step explanation:

We are given that

In I year, number of participants=88

In V year, number of participants=115

We have to find the equation of the trend line that can be generated by using the data from years 1 and 5.

Rate of change of participants = $\frac{change\;in;participants}{change\;in\;time}=\frac{115-88}{5-1}$

Rate of change of participants,m=6.75

Point-slope form: $y-y_1=m(x-x_1)$

Where m=Rate of change of participants per year

$x_1=5,y_1=115$

By using the formula

Substitute the values then we get

$y-115=6.75(x-5)$

$y-115=6.75x-33.75$

$y=6.75x-33.75+115$

$y=6.75x+81.25$

Hence, option C is true.

You might be interested in

Find the volume of the prism<br> ASAP

tino4ka555 [31]

The answer is 60 you just multiply the length and width and height

5 0

3 years ago

Read 2 more answers

Which of the following statements is biconditional?

bazaltina [42]

Answer with Step-by-step explanation:

We are given some statements

We have to find that which statements is bi-conditional

We know that

Bi-Conditional statement:It is combination of conditional statement and its converse written as if and only if .Bi- conditional statement is true if and only both the conditions are true.

1.I am sleeping if and only if I am snoring.

If I am sleeping then I am snoring .Then,it may be true or may not be true.

If I am snoring then I am sleeping .It is true.

Its one side true result.So, it is not bi conditional true statement.

2.Mary will eat pudding today if and only if is custard.

If Mary will eat pudding today then it is custard.It may or may not be true because pudding can be any soft sweet desserts.It is not necessary that it is custard only.

If it is custard then Mary will east pudding today.It is true, because it is soft sweet dessert.

Hence, it is one side true. Therefore, It is not bi- conditional true.

3.It is raining if and only if it is cloudy.

If it is raining then it is cloudy .It is true.

But if it is cloudy then it is raining. It may be true or may not be true.

Hence, it is one side true result.Therefore, it is not bi conditional true.

Therefore, any given statement is not both side true.

So, the answer is none of the above because bi conditional statement is true if and only if both the conditions are true.

7 0

3 years ago

Styline menswear ordered short-sleeve shirts for $23 each and long-sleeve shirts for $28.50 each from Tommy Hilfiger. If the tot

Mice21 [21]

Styline menswear ordered short-sleeve shirts for $23 each and long-sleeve shirts for $28.50

short-sleeve shirts for $23

long-sleeve shirts for $28.50

Total cost = $9,862.50

Let x be the number of short - sleeve

and y be the number of long - sleeve

Total shirts = 375

x + y = 375

23x + 28.50y = 9862.50

Now we solve for x

x + y = 375 ( subtract x on both sides)

So y = 375 - x

Now plug in 375 -x for y in second equation

23x + 28.50y = 9862.50

23x + 28.50(375 - x ) = 9862.50

23x + 10687.5 - 28.50x = 9862.50

subtract 10687.5 from both sides

23x - 28.50x = -825

-5.5x = -825 (divide -5.5 on both sides)

x = 150

So number of short-sleeve = 150

7 0

3 years ago

What is the equation for the line with a slope of - 2/3 that passes through (0, -2)

viktelen [127]

Answer:

y= -2/3x-2

Step-by-step explanation:

Since we have a point and a slope, we can use the point slope formula

$y-y_{1} =m(x-x_{1})$

m is the slope. In this case, m is -2/3

y1 is the y coordinate of the point. In this case, it is -2

x1 is the x coordinate. In this case it is 0.

We can substitute these values into the formula

y- -2= -2/3(x-0)

Distribute -2/3

y+2 = -2/3*x + -2/3*0

y+2= -2/3x+0

Subtract 2 from both sides. We want to get y by itself. This is because we want our line to be in y=mx+b form.

y+2-2= -2/3x+0-2

y= -2/3x -2

5 0

3 years ago

Bob's age is 4 times greater than Susanne's age. Dakota is three years younger than Susanne. The sum of Bob's, Susanne's, and Da

belka [17]

Susanne is 16 years old.

b = Bob's age

s = Susanne's age

d = Dakota's age

Bob's age is 4 times greater than Susanne's age:

b = 4s

Dakota is three years younger than Susanne:

d = s - 3

The sum of Bob's, Susanne's, and Dakota's ages is 93:

b + s + d = 93

solve these equations:

b = 4s

d = s - 3

b + s + d = 93

and get:

b = 64 years

s = 16 years

(remember that s = Susanne)

d = 13 years

5 0

3 years ago