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harina [27]
2 years ago
7

The number of people who attended a school's last six basketball games increased as the team neared the state sectional games. T

he table shows the data.
Game 13, 14 15, 16, 17, 18
Attendance 348, 435, 552, 609, 696, 783
State the type of function that best fits the given data. Justify your choice of a function type.
Mathematics
1 answer:
Thepotemich [5.8K]2 years ago
7 0

The function will be a (linear function) linear equation in two variable and the equation of the function is y = 87x  - 783

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

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have given data:

Game(x):              13      14     15      16       17     18

Attendance(y):    348   435  552  609   696  783

If plot these points on a coordinate plane, we will see these points will align in a straight line.

We know we can find a line equation with two points:

(13, 348) and (14, 435)

\rm (y - 435) = \dfrac{435-348}{14-13}(x-14)

y - 435 =87(x-14)

y = 87x  - 783

Thus, the function will be a (linear function) linear equation in two variable and the equation of the function is y = 87x  - 783

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

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Sheila, janice, and katen, working together at the same rate, can complete a job in 3 1/3 days. Working at the same rate, how mu
pychu [463]

Answer:

Janice and Karen could do in 1 day:

  • <u>20% of the job</u>.

Step-by-step explanation:

To identify how much of the job could janice and caren do in 1 day, first, we must find how much of the job make just 1 person at the same rate:

If three persons make a job in 3 1/3 days, 1 person make the job in x:

  • 3 persons ⇒ 3 1/3 days or 10/3 days
  • 1 person ⇒ x

Then:

  • x=\frac{1 person*\frac{10}{3}days }{3 persons} (we cancel the unit "persons")
  • x=\frac{\frac{10}{3}days }{3}
  • x = 10 days

Just a person would need 10 days to complete a job, now, we're gonna divide this value in 2 to obtain the time that need two persons to complete a job:

  • Time to complete a job between 2 persons = \frac{10}{2}days
  • Time to complete a job between 2 persons = 5 days

How two persons need 5 days to complete a job (in this case, the two persons are Janice and Karen), we can make a simple rule of three to obtain the percentage made in 1 day:

  • 5 days ⇒ 100% of a job
  • 1 day ⇒ x

Then:

  • x=\frac{1*100}{5} (you can use the % if you want, the result is the same)
  • x=\frac{100}{5}
  • x=20

As you can see, <u><em>Janice and Karen just in a day could do 20% of the job</em></u>.

3 0
2 years ago
A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 17 cm
maria [59]

Answer:

80.56

Step-by-step explanation:

To find the rectangle area you just multiply its length by its width:

17 * 4 = 68

You have to sum two semicircles on top of that. Since it is 2 semicircles you can just calculate one circle. Using the circle area formula:  \pi*r^2

Since the radius (r) is 2 and \pi is 3.14, you have the following equation:

A = 3.14 * 2² ==>      A = 3.14 * 4   ==>   A = 12.56     <em>(A is Area)</em>

Sum the rectangle's area with the circle's area:

12.56 + 68 = 80.56

And vuoila! there's your answer.

7 0
3 years ago
Trying to find the y-intercept and got -24. But the graph given doesn't have a number on the y-axis going all the way down to -2
mario62 [17]

Answer:

y = 6x - 24

Step-by-step explanation:

Slope intercept form: y = mx + b.

Fill in x, y, and the slope to solve for b as follows:

First find the slope.

60 - 6

14 - 5

54/9

Slope = 6

y = 6x + b

(6) = 6(5) + b

6 = 30 + b

Subtract 30 from both sides.

-24 = b

y = 6x - 24

4 0
3 years ago
Read 2 more answers
For the graph y = -8 find the slope of a line that is perpendicular to it and the slope of a line parallel to it. Explain your a
AlexFokin [52]
For the graph of y = -8 the line is horizontal, which means the slope = 0. A parallel line has the same slope so one equation could be y = 2. A perpendicular line has an opposite slope so since our slope = 0 the opposite of that slope is -\frac{1}{0} which a line that is perpendicular to y = -8 could be x = -3. Also notice that these two lines form a 90 degree angle.
8 0
3 years ago
The vertices of a triangle are listed below:
Pavlova-9 [17]
I believe it’s 20, hope this helps!
6 0
2 years ago
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